Academic literature on the topic 'Mathematics Programmed instruction'
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Journal articles on the topic "Mathematics Programmed instruction"
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Suydam, Marilyn N. "Research Report: Individualized or Cooperative Learning." Arithmetic Teacher 32, no. 8 (April 1985): 39. http://dx.doi.org/10.5951/at.32.8.0039.
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From a recent study comes the conclusion that individualization of mathematics instruction using programmed materials with individuals or cooperative learning teams can be effective and manageable by a single teacher without an aide (Slavin, Leavy, and Madden 1984).
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Villar, Ariel Gulla. "COMPUTER-AIDED MODULAR INSTRUCTIONS IN PROBLEM SOLVING." Journal of Mathematical Sciences & Computational Mathematics 2, no. 1 (November 2, 2020): 90–128. http://dx.doi.org/10.15864/jmscm.2107.
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This study is an experimental pre-test and post-test design which essentially needed to compare the effectiveness of Computer Aided Modular Instruction with the Traditional Method of teaching word problem involving fractions to the grade six (6) pupils of Gadgaran Integrated School, Calbayog City, Samar during the school year 2019-2020.Computer aided modular instruction is a teaching technique that enable pupils interact with the lesson programmed to the computer given to the experimental group. The Traditional Method on the other hand, is a usual way of teaching composing with lecture-discussion given to the control group. A single class consisting of regular grade six (6) pupils was chosen as the subject of the study. Their average grade is approaching proficiency level in Mathematics subject during the first grading period both of experimental and control group. They were randomly assigned and chosen using odd or even technique. The instrument used in this study was researcher made test in Mathematics and was carefully validated. The content topics in the Computer Aided Modules were based on the DepEd Learning competencies set for the grade six level. These are further checked and validated by the Mathematics teachers of Calbayog IV District, Division of Calbayog City. The evaluation survey questionnaire on pupils’ difficulties, reactions and attitudes towards Computer Aided Modular Instruction was adapted from the study of Saladaña on SIM-Based Instruction. The questionnaires were revised by the present researcher of this study. The control and experimental group have significant mean difference in the pre-test and post-test scores but have no significant mean difference in the mean percentage gain of scores. The Computer Aided Modular Instructions and the Conventional Method of Instruction resulted for the same level of achievement for the pupils with slight challenges on the part of pupils and facility in teaching of the teachers. Based on the result it was recommended on the implementation and adaptation of this strategy into the classroom utilizing Computer Aided Instruction in enhancing the better-learning output.
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Tran-Duong, Quoc Hoa. "Designing E-courseware to Support Vietnamese Students in Self-Study Fractions (4th Grade Mathematics) by Programmed Instruction Method." International Journal of Instruction 14, no. 4 (October 1, 2021): 259–80. http://dx.doi.org/10.29333/iji.2021.14416a.
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Omoniyi, Tayo, and Gisanrin Gbenga. "The Effect of Three Instructional Elements on Achievement in Computer-Based Mathematics Instruction of Senior Secondary School Students in Nigeria." Journal of Education in Black Sea Region 4, no. 1 (December 9, 2018): 164–72. http://dx.doi.org/10.31578/jebs.v4i1.163.
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This study investigated the effect of three instructional elements on achievement in computer-based mathematics instruction. The subjects were senior secondary school students who used four versions of computer-based instruction developed on compact disc to learn about the volume of solid shapes. The four versions of the programme were (1) a full version that had the three instructional elements (2) a version without objectives (3) a version without practice (4) a version without examples. The results indicated that the full package, which included objectives, practice and examples, had a significant effect on students’ achievement in the computer-based mathematics instruction. Furthermore, of the three elements, practice, had the most effect on the learners’ achievement. Implications of the findings on development of computer-based instructions are also discussed.
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Komiya, Ken, Kensaku Sakamoto, Atsushi Kameda, Masahito Yamamoto, Azuma Ohuchi, Daisuke Kiga, Shigeyuki Yokoyama, and Masami Hagiya. "DNA polymerase programmed with a hairpin DNA incorporates a multiple-instruction architecture into molecular computing." Biosystems 83, no. 1 (January 2006): 18–25. http://dx.doi.org/10.1016/j.biosystems.2005.07.005.
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Olawale, Babawande Emmanuel. "Impact of Pre-Service Teacher Education Programme on Mathematics Student Teachers’ Teaching Practices during School Experiences." Education Sciences 14, no. 7 (July 12, 2024): 762. http://dx.doi.org/10.3390/educsci14070762.
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While the pre-service teacher education (PSTE) programme holds global significance, there is a lack of evidence regarding its impact on the teaching practices of mathematics student teachers. Therefore, this study examines the impact of PSTE programmes on mathematics student teachers’ teaching practices during school experiences. Grounded in a post-positivist paradigm, the study employs a mixed-methods research approach and a sequential explanatory mixed-methods design to gather data through questionnaires and semi-structured interviews. The research findings indicate that PSTE programmes have a significant impact on mathematics student teachers’ ability to teach mathematical content that aligns with curriculum standards, enhances their subject knowledge, and increases their confidence. However, the programmes have minimal influence on their ability to implement differentiated instruction during their teaching practices. Based on these findings, the study concludes that although mathematics student teachers may lack the necessary skills to implement differentiated instruction, high-quality teacher education programmes can build their confidence and enable them to effectively manage their classrooms and adapt teaching practices to meet diverse learner needs. Therefore, the study suggests that stakeholders involved in PSTE programmes should provide continuous guidance and constructive feedback to help student teachers overcome challenges and improve their teaching practices. This support system is crucial for the success of the PSTE programme and has a direct impact on the quality of mathematics instruction in schools.
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Omoniyi, Tayo, and Gisanrin Gbenga. "The Effect of Three Instructional Elements on Achievement in Computer-Based Mathematics Instructions of Senior Secondary School Students in Nigeria." Academic Journal of Interdisciplinary Studies 6, no. 2 (July 26, 2017): 9–15. http://dx.doi.org/10.1515/ajis-2017-0001.
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Abstract This study investigated the effect of three instructional elements on achievement in computer-based mathematics instructions. The subjects were senior secondary school students who used four versions of computer-based instructions developed on compact disc to learn about volume of solid shapes. The four versions of the programme were (1) a full version that had the three instructional elements (2) a version without objective (3) a version without practice (4) a version without examples. Results indicated that the full package, which included objective, practice and examples, had significant effect on students′ achievement in the computer-based mathematics instructions. Furthermore, of the three elements, practice, had the most effect on the learners′ achievement. Implications of the findings on development of computer-based instructions are also discussed.
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JANCHESKI, Metodija, and Sofija JANCHESKA. "Multidisciplinary, Multilingual, Multilevel and Multipurpose Usage of GeoGebra Software in Education." Olympiads in Informatics 13 (July 13, 2019): 41–56. http://dx.doi.org/10.15388/ioi.2019.04.
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The technical characteristics of GeoGebra have been examined, its various views and tools have been described, with special emphasis on interactive tools. The use of GeoGebra in education has been depicted, mainly in mathematics. We emphasized the importance of sharing GeoGebra digital learning materials within the GeoGebra community, which is present and active in more than 190 countries now and is growing astonishingly fast. In this context, various forms of organizing GeoGebra digital learning materials are reviewed: GeoGebra Materials, GeoGebra Wiki, GeoGebra Tube, GeoGebra Books and GeoGebra Exercises. The author demonstrates the universal and effective application of the GeoGebra software in four dimensions. First, GeoGebra can be applied in a variety of disciplines, primarily in mathematics and computer science, and in subjects in the field of natural and technical sciences. Second, the use of GeoGebra also covers a wide range of applications, from primary education to higher education. Third, GeoGebra enables the creation of multilingual digital learning content. Finally, various variations of animations and simulations with different weights can be made in GeoGebra, which can enhance the individualization of teaching within multiple levels of education and enable conditions for programmed instruction. A detailed overview of three conducted researches and the obtained results are provided. The researches include filling in questionnaires by teachers and students, as well as performing teaching lessons in Mathematics and Physics in two secondary schools with students divided into experimental groups (where GeoGebra animations and simulations were applied) and control groups where the classes were held in classical, traditional way, without the use of educational software). According to our researches and observations, free and open-source software like GeoGebra is a great opportunity that should be used to the fullest extent in our education especially in the conditions of obvious need for educational software and digital educational materials, corresponding to our education curricula. In the concluding observations, we give concrete conclusions, suggestions and recommendations for implementing GeoGebra in the educational system.
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Aydin-Güç, Funda, and Adnan Baki. "Evaluation of the learning environment designed to develop student mathematics teachers’ mathematical modelling competencies." Teaching Mathematics and its Applications: An International Journal of the IMA 38, no. 4 (March 26, 2018): 191–215. http://dx.doi.org/10.1093/teamat/hry002.
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Abstract The purpose of this study was to examine the mathematical modelling competencies of student mathematics teachers within a learning environment that was based on a holistic approach to instruction. The participants were student mathematics teachers enrolled in undergraduate programmes at two different universities. In one of the university programmes, the participants took a mathematical modelling course that was taught according to a holistic approach, while the participants at the other university followed the standardized undergraduate programme that did not include a mathematical modelling course. The sub-competencies of mathematical modelling of the student mathematics teachers who participated in the mathematical modelling course were examined using an analytic rubric that was designed according to the holistic approach applied within the context of the study. In order to determine whether the observed changes were related to the experiences of mathematical modelling, these results were compared to the sub-competencies of mathematical modelling of the control group. The findings showed that experience within a learning environment based on mathematical modelling, as well as affective factors, supported the development of modelling competencies. On the other hand, it was observed that certain sub-competencies were difficult to develop; while many sub-competencies were enhanced by the modelling experiences, others were adversely affected. Furthermore, a certain group of sub-competencies was found not to be directly linked to modelling experiences.
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Kagyera Katakara, Denis, Wellars Banzi, and Dany Kamuhanda. "An Investigation of the Correlation between Lecturers’ Instructional Practices and the Level of ICT Tools Use in Teacher Training Programmes." International Journal of Learning and Development 14, no. 1 (February 13, 2024): 17. http://dx.doi.org/10.5296/ijld.v14i1.21578.
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This study investigates how lecturers' instructional practices and ICT tools usage relate to the teaching and learning of mathematics at Kyambogo University in Uganda. A questionnaire was used to collect data (N=50), and Pearson's correlation analysis was used to analyze the results. Using SPSS 25, it had a Cronbach's alpha coefficient (α) of 0.728. The study employed a quantitative research methodology and a correlation research design. The null hypothesis for the study was rejected by the analysis, which showed that lecturers' instructional practices are significantly impacted by the usage of ICT tools (r=0.796, p<0.01). ICT integration into teacher preparation courses could greatly enhance mathematics instruction in Uganda. From the above r=0.796, p<0.01, there is a strong interdependence linking ICT tools and lecturers’ teaching practices which portrays the essence of integrating ICT tools into mathematics education curricula. The implication is that adopting ICT for teacher education improves lecturers’ teaching methodology and, eventually, their learners’ attitudes towards mathematics.
Dissertations / Theses on the topic "Mathematics Programmed instruction"
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Zhen, Yongjian. "Improving students' math problem-solving skills in a computer-assisted learning environment." CSUSB ScholarWorks, 1999. https://scholarworks.lib.csusb.edu/etd-project/1797.
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Yuan, Jing. "FROM MEAN TO QUANTILES: RETHINKING INDIVIDUAL DIFFERENCES IN MATHEMATICS ACHIEVEMENT AND MATHEMATICS SELF-EFFICACY." UKnowledge, 2019. https://uknowledge.uky.edu/edp_etds/82.
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The significance of this dissertation research is twofold with both methodological advancement and empirical update. In this dissertation research, quantile regression (QR) was introduced to social sciences researchers as a response to the weaknesses of the traditional mean-based regression often referred to as multiple regression. General advantages of QR includes being more flexible for modeling data with heterogeneous conditional distributions, more robust to outliers, and having richer characterization and description of the data. Results of QR allow researchers to not only describe a general trend of changes in the effects of the independent variables across a continuous distribution of the dependent variable but also provide information on characteristics of any shift in the distribution caused by the independent variables. These shifts pertain to location, scale, and shape shifts. This dissertation research reviewed graphical ways to examine location, scale, and shape shifts, and more importantly, developed statistical ways to quantify location, scale, and shape shifts (i.e., test for statistical significance of location, scale, and shape shifts).
Overall, this dissertation demonstrated that the introduction of QR as an advanced statistical procedure will advance the quantitative landscape of social sciences research. The results of this dissertation showed that QR can detect the differential effects of independent variables on the dependent variables that mean-based regression cannot detect and therefore uncovers more detailed relationships. This quality of QR enables more in-depth research than mean-based regression in many fields. The results of this dissertation also showed that QR allows for the understanding of relationships between variables outside the mean of the data, making it useful in understanding outcomes that are non-normally distributed and that have non-linear relationships with the independent variables. Finally, this dissertation introduced ways to detect and describe distributional shifts caused by the independent variables. The median regression line describes the (central) location shift. In addition to the estimated location shifts, the other QR lines provide information about the scale and shape shifts. This dissertation developed the bootstrapping approach to test for statistical significance when comparing location, scale, and shape shifts between parameters within and between samples (i.e., studies).
This dissertation research applied QR to the examination of individual differences in mathematics achievement and mathematics self-efficacy, using the 2003 and 2012 Programme for International Student Assessment (PISA) data. The QR results showed that the effects of many student characteristics were not constant across the mathematics outcomes distributions (i.e., mathematics achievement and mathematics self-efficacy). This suggested that individual differences were valued heterogeneously across the mathematics outcomes distributions. There was only one statistically significant location shift in terms of individual differences associated with family structure in both mathematics achievement and mathematics self-efficacy between 2003 and 2012. There was only one statistically significant scale shift in terms of individual differences associated with father SES in mathematics achievement for the middle 40 percent of the students between 2003 and 2012. There was only one statistically significant scale shift in terms of individual differences associated with gender in mathematics self-efficacy for the middle 40 percent of the students between 2003 and 2012. There was only one statistically significant shape shift in terms of individual differences associated with gender in mathematics self-efficacy between 2003 and 2012. Even though QR and LMR results can be similar in terms of statistical significance, they can differ dramatically in magnitude. Students’ age, gender, and socioeconomic status were typical examples in this study. The effect of student age generally became more positive as student mathematics achievement increased in 2003. This suggests that age had a stronger effect on better-performing students than lower-performing students in 2003. It also means that there are more age differences in the upper tail of student mathematics achievement distribution than in the lower tail.
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Ip, Chi-fun Louisa, and 葉志芬. "The influence of DERIVE on adults' learning of mathematics in a distance education programme." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31960182.
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Smith, Edward Charles. "Reconceptualizing mathematics teaching and learning: Teacher learning in a realistic mathematics context." University of the Western Cape, 2000. http://hdl.handle.net/11394/8470.
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Philosophiae Doctor - PhDIn this study the construct of personal theories is used to represent the teacher's conceptions, which are interpreted as the consciously held beliefs. The teacher's personal theories encompass beliefs, images, values and attitudes as well as understanding about teaching and learning. This study investigates the influence of the teacher's conceptions of mathematics, of the teaching and learning of mathematics and of the context before and after a structured learning experience. The interest in the teacher's conceptions is derived from the assumption that these serve as a primary component that influence how teachers think about their professional responsibilities and how they act in their classrooms. Furthermore, the extent of implementation of a new curriculum has been linked to the scope of congruence between the teachers' conceptions and the underpinning philosophy of the intended curriculum. The study of the teacher's conceptions is especially relevant during a time of educational reform, such as the current transition to an Outcomes Based Education curriculum in South Africa. The participants in this study consist of four primary school mathematics teachers with various educational backgrounds, who teach at schools situated in different physical environments. The conceptions that these teachers have of mathematics, of the teaching and learning of mathematics and the influence of the context are investigated using a variety of instruments. Data collection was done with a questionnaire, a repertory grid, a semi-structured interview and lesson observations. The teachers participated in the Teaching Intervention and Support Programme (TISP), as a structured teacher learning experience. The programme is centred on the integration of the developmental and socio-cultural perspectives on teacher learning. With the developmental perspective the focus is on the acquisition of intellectual skills, while the socio-cultural perspective emphasizes participation in social practice. Both are directed at effecting conceptual change. With the developmental approach the process of conceptual change involves the development of new conceptions from existing conceptions. From the socio-cultural perspective the context is paramount and conceptual change is seen as new ways of being and acting within a particular context. The teachers were invited to attend a two-week intervention session, followed by a six months support programme that was aimed at establishing a teacher learning community. The learning experiences provided during the intervention session were drawn mainly from Realistic Mathematics Education. On completion of the programme, the teachers' conceptions of mathematics, of the teaching and learning of mathematics and the influence of the context were again investigated. The results of this study show that two of the participants had highly mechanistic conceptions of mathematics, and the teaching and learning of mathematics. The remaining two had a more empiristic approach with its high focus on environmental activities. After the programme, the teachers with the mechanistic views adopted a mixed. conception with some of the mechanistic conceptions retained, but now interspersed with some empiristic and realistic conceptions. The participants with the empiristic conceptions adopted a more realistic conception, but again to varying degrees. Thompson's (1991) hierarchical structure for the development of conceptions was also used to describe the extent of conceptual change. However, it was found that a concentric, rather than a hierarchical representation is a more appropriate to describe these changes. With regards to the socio-cultural view of conceptual change, all the participants perceived the context differently. The teachers' actions were also more commensurate with the practices associated with teachers that encourage learner autonomy, mathematical investigations and a facilitative role for the teacher.
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Nnanyereugo, Iwuanyanwu Paul. "An analysis of pre-service teachers' ability to use a dialogical argumentation instructional model to solve mathematical problems in physics." University of the Western Cape, 2017. http://hdl.handle.net/11394/6252.
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Philosophiae Doctor - PhD (Education)This study chronicles a teacher training education programme. The findings emerged from the observation of argumentation skills employed by students in a physical science education classroom for pre-service high school teachers. Their task was to use the nature of arguments to solve mathematical problems of mechanics in a physics classroom. Forty first-year students were examined on how they used a dialogical argumentation instructional model (DAIM) based on Toulmin's (1958/2003) Argument Pattern (TAP), Downing's (2007) Analytical Model (DAM) and Ogunniyi's (2007a & b) Contiguity Argumentation Theory (CAT) to solve mathematical problems in physics. Thus efforts to judge the pre-service teachers' capability to solve mathematical problems in physics with respect to mechanics were compounded by the demand for the inclusion of a self-efficacy framework. According to Bandura (2006) self-efficacy is the judgment of capability. Selfefficacy plays a key role in human functioning in that it affects not only people's behaviour but other issues such as goals and aspirations, outcome expectations, affective proclivities and perception of impediments and opportunities in the social environment (Bandura, 1995, 1997 & 2006).
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Osborne, Michael C. "STUDENT HELP-SEEKING BEHAVIORS AND TEACHER INSTRUCTIONAL PRACTICES: EXAMINING THEIR RELATIONSHIP WITH U.S. STUDENT MATHEMATICS ACHIEVEMENT." UKnowledge, 2019. https://uknowledge.uky.edu/edc_etds/25.
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Even though the United States (U.S.) spends, on average, more money per student than most Organisation for Economic Co-operation and Development (OECD) countries, it continues to lag behind its international peers in mathematics achievement. This study, which responded to the call for educational reforms that improve the mathematics achievement of U.S. students, aimed to examine the issue of student help-seeking behaviors and teacher instructional practices as they interact to affect student mathematics achievement. The Programme for International Student Assessment (PISA) defines student help-seeking behaviors as the ways in which students have a propensity to depend on the knowledge and intellect of others, including both their peers and teachers, when attempting to solve problems.
Because mathematics is perhaps the most difficult school subject, student help-seeking behaviors should be a critical component of mathematics learning and teaching. Unfortunately, the research literature is barren concerning this important educational issue. This study attempted to produce the first wave of empirical evidence and open up an avenue for future research in this less-charted academic field, with the ultimate goal being to use students’ help-seeking behaviors to improve their mathematics achievement.
Using the U.S. sample of 15-year-old students from PISA 2012 (the most recent PISA assessment in which the main area of focus was mathematical literacy), this study intended to determine whether students’ help-seeking behaviors play a significant role in their mathematics achievement, whether this relationship varies from school to school, and whether teacher instructional practices contribute to the school-level variation. Due to the multilevel structure of the data, with students being nested within schools, a two-level hierarchical linear model (HLM) was employed in the analysis of the data. Multiple measures of mathematics achievement were used as the dependent variables for separate analyses. Student help-seeking behavior was used as the key student-level independent variable, while three teacher instructional practices were used as the key school-level independent variables. In addition, several student and school background characteristics were used as control variables.
The findings from this study indicate that student help-seeking behavior has a statistically significant effect on all measures of student mathematics achievement, even after controlling for various student background characteristics. On the other hand, the study did not find statistically significant evidence that the effects of student help-seeking behavior on any measure of student mathematics achievement vary from school to school. Overall, the issue of student help-seeking behaviors should be considered a worthy topic to pursue in future educational research. From a practical standpoint, since students’ mathematics achievement is positively associated with their help-seeking behaviors, efforts should be made to educate mathematics teachers on how to encourage their students to be more proactive in seeking help in the learning of mathematics.
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Dongwi, Beata Lididimikeni. "Mathematics teachers' experiences of designing and implementing a circle geometry teaching programme using the van Hiele phases of instruction as a conceptual framework: a Namibian case study." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1003133.
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The aim of this case study was to examine, analyze and report on the findings of the experiences of selected mathematics teachers when they used the van Hiele phases of instruction in designing and implementing a Grade 11 circle geometry teaching programme. The sample consisted of three selected mathematics teachers from the school where the researcher teaches. This school is located in the Oshikoto Education Region in Namibia. The school serves a multicultural group of 759 learners from a middle-class economic background. The site and participants were selected conveniently as the researcher had unrestricted access to both the facilities and the participants. This research takes the form of a case study and is underpinned by the interpretive paradigm. Data for this research was collected using a variety of techniques such as interviews, classroom observation and document analysis. This facilitated easy triangulation of the data. The findings of this research make four claims with regard to the experiences of the mathematics teachers with designing and implementing the circle geometry teaching programme using the five van Hiele phases of instruction as a conceptual framework. The findings revealed that firstly, all three participating mathematics teachers used and implemented all the five van Hiele phases of instruction in their lessons I observed. Secondly, the teachers navigated quite freely from one phase of instruction to the next, but also returned to the earlier phases for clarification and reinforcement in their teaching. Thirdly, the teachers saw the phases of instruction as a good pedagogical tool or template for planning and presenting lessons. Fourthly, the majority of the learners followed the instructions and seemed to obtain the answers faster than expected. The lesson presentations were lively and both teachers and learners communicated at length to discover angle properties of circles while developing and nurturing the technical language of geometry.
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Sanassian, Dermenjian. "A critical assessment of female middle school mathematics and science teachers' perspectives of the Abu Dhabi education reform programme and the use of English as a medium of instruction." Thesis, University of Exeter, 2011. http://hdl.handle.net/10036/3475.
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The Ministry of Education in Abu Dhabi launched an extensive reform initiative developed by the Abu Dhabi Education Council (ADEC) in partnership with international operators. The reform has introduced innovative teaching methodologies, modern books, a new curriculum and the use of English as a medium of instruction (EMI) in mathematics and science classes. The research carried out for this thesis investigated 11 Emirati female teachers. The data was collected from interviews and several informal observations carried out in a public middle school in a town outside Abu Dhabi city, UAE. The rationale for this study is to critically investigate the effects that rapid reform is having on the performance of the female teachers in the classroom and the impact of this speedy reform on their professional and personal lives so as to highlight differences between reform theory and practice. This study is significant because few studies on female teachers in a Gulf educational reform environment have been undertaken and it is essential to uncover the foreign and non-egalitarian nature of the reform programme. Therefore, the study’s aims are to highlight teacher perspectives and teacher marginalization, EMI and consider whether the reform is being implemented successfully at the classroom level. Of course, an important aim of this critical study has also been to raise the consciousness of those participating in the reform. This study has revealed mostly negative perceptions regarding the Abu Dhabi education reform programme, in particular with teachers’ perceptions of the work environment and the new pedagogy. It has also disclosed several instances of teacher marginalization as the result of a top-down reform and has exposed a prevailing sentiment of teacher disempowerment because of the presence of foreigners operating in the country. Teacher perceptions regarding EMI have been numerous in particular with cultural issues relating to the use of EMI in mathematics and science classes. Surprisingly, the study revealed a few unexpected positive findings with certain aspects of reform.
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Rodrigues, Losada Ricardo J. "Teachers' perceptions of spreadsheet algebra programs as curriculum materials for high school mathematics in Namibia." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71846.
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Thesis (MEd)--Stellenbosch University, 2012Includes bibliography
ENGLISH ABSTRACT: The use of information and communications technologies (ICTs) in the form of spreadsheet algebra programmes (SAPs) is important in the professional development of high school mathematics teachers. This is in line with The Namibian government‟s Vision 2030 in which ICT skills and competencies are regarded as core elements of living and participating in the 21st century. ICTs are also considered to be fundamental to the development of a dynamic knowledge-based economy (KBE) through the Education and Training Sector Improvement Program (ETSIP). ETSIP‟s aim is to embed ICT at all levels of the education system. It also aims to integrate the use of ICTs as tools in the delivery of curriculum and learning and in so doing, lead to a marked improvement in the quality of the learning and teaching process across all levels. Education has a key role in achieving Vision 2030. The aim of this research was to investigate mathematics teachers‟ perceptions of SAPs as curriculum materials in selected Namibian secondary (high) schools. This research adopted a qualitative methodology, which in this instance was a case study. The sample population consisted of five teachers from Okamu (pseudonym) secondary school in the Ohangwena Region of Namibia. Four of them had been teaching mathematics at different levels in the mentioned school for a period of four years, and one of them was teaching physical science. Three methods of data collection were used. The first two were semi-structured interviews and focus group interviews based on teachers‟ experiences using SAPs. The third method was an audio taped observation of a lesson taught by one of the teachers,. This research provides evidence about teachers‟ perceptions regarding time concerns and constraints with regards to the SAPs and the use of the SAPs. The teachers showed willingness and enthusiasm to use SAPs on linear and quadratic functions in their teaching. Some of the teachers became more aware of the epistemic dimensions associated with mathematical and algebraic symbols. Interview data reveal that the teachers had not considered these dimensions when teaching with the usual paper-and-pen format. The research also provides evidence of a teacher‟s early vision about the use of spreadsheets as an instrument to teach linear functions. This teacher did not consider any epistemic value for the instrumented spreadsheets techniques, or that they might contribute to a deeper understanding of the linear functions. His concern was focused more on getting the learners to acquire computer skills, such as learning how to use spreadsheets. It is recommended that in-service professional development about ICT integration into mathematics teaching be offered. This might help teachers to learn how their knowledge and skills could be used in the classroom more effectively in order to save time. It is also suggested that professional development programmes be designed to stimulate and promote teachers‟ willingness to develop an understanding of the characteristics of ICTs such as SAPs and their uses. Lastly, it is recommended that new SAPs be designed in order to deepen the understanding of algebra at the secondary level.
AFRIKAANSE OPSOMMING: Die gebruik van inligting- en kommunikasietegnologieë (IKT's) in die vorm van sigblad-algebra-programme (SAP's) is belangrik vir die professionele ontwikkeling van hoërskoolwiskunde-onderwysers. Dit is in pas met die Namibiese regering se visie vir 2030, Vision 2030, waarin IKT-vaardighede en -bevoegdhede beskou word as kernelemente van die lewe in en deelname aan die 21ste eeu. IKT's word ook beskou as grondliggend aan die ontwikkeling van ‟n dinamiese kennisekonomie (KE) deur middel van die Verbeteringsprogram vir die Onderwys- en Opleidingsektore (ETSIP). ETSIP het as oogmerk om IKT op alle vlakke van die onderwysstelsel vas te lê. Dit het ook ten doel om die gebruik van IKT's as hulpmiddele te integreer in die lewering van kurrikulum en leer en sodoende ‟n duidelike verbetering in die gehalte van die onderrig-en-leerproses oor alle vlakke heen tot gevolg te hê. Onderwys het ‟n sleutelrol te speel by die bereiking van Vision 2030. Die doel van hierdie navorsing was om wiskundeonderwysers se persepsies van SAP's as kurrikulummateriaal in geselekteerde Namibiese sekondêre (hoër-) skole te ondersoek. Hierdie navorsing het ‟n kwalitatiewe metode gevolg, in hierdie geval ‟n gevallestudie. Die proefgroep het bestaan uit vyf onderwysers van die sekondêre skool Okamu (skuilnaam) in die Ohangwena-streek van Namibië. Vier van hulle het reeds vier jaar lank wiskunde op verskillende vlakke in die betrokke skool gegee en een van hulle het fisiese wetenskap gegee. Drie metodes is ingespan om data in te samel. Die eerste twee was semigestruktureerde onderhoude en fokusgroeponderhoude gebaseer op onderwysers se ervaringe ten opsigte van die gebruik van SAP's. Die derde metode was ‟n klankopname van ‟n waarnemingsessie van ‟n les wat deur een van die onderwysers gegee is. Hierdie navorsing getuig van onderwysers se persepsies ten opsigte van tydskwessies en -beperkinge met betrekking tot die SAP's en die gebruik van die SAP's. Die onderwysers het ‟n gewilligheid en geesdrif geopenbaar om by lineêre en kwadratiese funksies SAP's in hul onderrig te gebruik. Party onderwysers het meer bewus geraak van die epistemiese dimensies in verband met wiskundige en algebraïese simbole. Onderhouddata onthul dat die onderwysers nie hierdie dimensies in ag geneem het toe hulle met die gewone papier-en-pen-formaat klasgegee het nie. Die navorsing bevestig ook ‟n onderwyser se aanvanklike insig oor die gebruik van sigblaaie as 'n instrument om lineêre funksies te onderrig. Hierdie onderwyser het nie die epistemiese waarde vir die geïnstrumenteerde sigbladtegnieke in ag geneem nie, of dat hulle sou kon bydra tot ‟n grondiger begrip van die lineêre funksies nie. Sy belangstelling was eerder daarop gefokus om die leerders sover te kry om rekenaarvaardighede, soos om sigblaaie te kan gebruik, te verwerf. Daar word aanbeveel dat indiens- professionele ontwikkeling oor IKT-integrasie in wiskundeonderrig aangebied word. Dit sal onderwysers moontlik help om te leer hoe hulle kennis en vaardighede meer doeltreffend in die klaskamer gebruik kan word om tyd te bespaar. Daar word ook voorgestel dat professionele ontwikkelingsprogramme ontwerp word, ter stimulering en bevordering van onderwysers se bereidwilligheid om ‟n begrip te ontwikkel van die kenmerke en gebruike van IKT's soos SAP's. Laastens word daar aanbeveel dat nuwe SAP's ontwerp word om die verstaan van algebra op sekondêre vlak te verdiep.
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Hunter, William Gerard. "The development, use and evaluation of self instruction material for the numerical methods section of Mathematics II as taught to Technikon students." Thesis, 1993. http://hdl.handle.net/10321/2703.
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Dissertation submitted in compliance with the requirements for the Masters Diploma in Technology: (Post School Education), Technikon Natal, 1993.Die voorbereiding van hierdie tesis behels die inagneming van algemene en spesifieke faktore (Hoofstuk 1) wat gelei het tot navorsing in self-onderrig in 'n komponent van technikon wiskunde II asook 'n ondersoek van vier algemene doelwitte, naamlik
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Books on the topic "Mathematics Programmed instruction"
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Cleaves, Cheryl S. College mathematics. 2nd ed. Upper Saddle River, N.J: Pearson/Prentice Hall, 2009.
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Miller, Charles David. Business mathematics. 6th ed. New York, NY: HarperCollins College Publishers, 1994.
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Miller, Charles David. Business mathematics. 8th ed. Reading, Mass: Addison-Wesley, 2000.
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Miller, Charles David. Business mathematics. 9th ed. Boston, MA: Addison-Wesley, 2003.
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Miller, Charles David. Business mathematics. Boston: Pearson / Addison Wesley, 2009.
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Miller, Charles David. Business mathematics. 4th ed. Glenview, IU: Scott, Foresman, 1987.
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Consortium for Mathematics and Its Applications (U.S.), ed. Introduction to contemporary mathematics. New York: W.H. Freeman, 1988.
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Sackheim, George I. Programmed mathematics for nurses. 7th ed. New York: Pergamon Press, 1991.
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Sackheim, George I. Programmed mathematics for nurses. 8th ed. New York: McGraw-Hill, Health Professions Division, 1996.
Find full textBook chapters on the topic "Mathematics Programmed instruction"
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Simner, Ben, Shaked Flur, Christopher Pulte, Alasdair Armstrong, Jean Pichon-Pharabod, Luc Maranget, and Peter Sewell. "ARMv8-A System Semantics: Instruction Fetch in Relaxed Architectures." In Programming Languages and Systems, 626–55. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44914-8_23.
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AbstractComputing relies on architecture specifications to decouple hardware and software development. Historically these have been prose documents, with all the problems that entails, but research over the last ten years has developed rigorous and executable-as-test-oracle specifications of mainstream architecture instruction sets and “user-mode” concurrency, clarifying architectures and bringing them into the scope of programming-language semantics and verification. However, the system semantics, of instruction-fetch and cache maintenance, exceptions and interrupts, and address translation, remains obscure, leaving us without a solid foundation for verification of security-critical systems software.In this paper we establish a robust model for one aspect of system semantics: instruction fetch and cache maintenance for ARMv8-A. Systems code relies on executing instructions that were written by data writes, e.g. in program loading, dynamic linking, JIT compilation, debugging, and OS configuration, but hardware implementations are often highly optimised, e.g. with instruction caches, linefill buffers, out-of-order fetching, branch prediction, and instruction prefetching, which can affect programmer-observable behaviour. It is essential, both for programming and verification, to abstract from such microarchitectural details as much as possible, but no more. We explore the key architecture design questions with a series of examples, discussed in detail with senior Arm staff; capture the architectural intent in operational and axiomatic semantic models, extending previous work on “user-mode” concurrency; make these models executable as test oracles for small examples; and experimentally validate them against hardware behaviour (finding a bug in one hardware device). We thereby bring these subtle issues into the mathematical domain, clarifying the architecture and enabling future work on system software verification.
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Garegae, K. G., and S. S. Moalosi. "Botswana ICT Policy and Curriculum Concerns." In Handbook of Research on Information Communication Technology Policy, 15–32. IGI Global, 2011. http://dx.doi.org/10.4018/978-1-61520-847-0.ch002.
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This chapter discusses the National ICT Policy (Maitlamo) in Botswana with respect to its ability to facilitate ICT integration in mathematics education. One of the seven components of the policy, the Thuto Net otherwise known as the School Connectivity Programme, facilitates provision of internet services in schools. The chapter therefore attempts to explore potential limitations of the Thuto Net in meeting the needs of ICT integration in the mathematics instruction. The importance of ICT in the teaching and learning of mathematics is outlined. The chapter recommends, among others, training of personnel, formulation of ICT policy in education and research-based subject integration guidelines to facilitate ICT applications in Botswana schools.
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Carvalho, Paulo, Pedro Palhares, António Osório, Alexandra Gomes, and Ema Mamede. "LOGO and Elementary Mathematics Education in Portugal." In Cases on Inquiry through Instructional Technology in Math and Science, 487–522. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-0068-3.ch018.
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In the second part, the authors describe an elementary teachers’ training programme on mathematics education that during four years has every year provided a small time for the exploration of LOGO and promoted its use to teachers in the classroom. They reflect on this program and offer insights on teachers’ resistance to change their practices. The authors conclude the chapter with their own ideas for the implementation of LOGO in a group of schools in the near future.
Conference papers on the topic "Mathematics Programmed instruction"
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Libusha, Azwidowi Emmanuel. "USING EVERYDAY LANGUAGE TO SUPPORT LEARNERS’ ACCESS TO MATHEMATICAL CONTENT KNOWLEDGE." In International Conference on Education and New Developments. inScience Press, 2021. http://dx.doi.org/10.36315/2021end013.
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The language of mathematics can hinder the development of some learners’ conceptual understanding of mathematics. Language as a whole plays a crucial role in the teaching and learning of mathematics as it serves as the medium in which the teachers and learners think and communicate in the classroom. Ball, Thames and Phelps (2008) argue that the demands of teaching mathematics require specialized mathematical knowledge that only pertains to mathematics teaching and is not required in other mathematics professions. The role of the teacher is to use resources available to them to support learners in accessing mathematical content knowledge. Previous researchers acknowledged the difficulty learners face when trying to interpret the formal language of mathematics in order to access mathematical content knowledge. Consequently, the current study explored the various ways in which the language of learning and teaching can be utilized by teachers to mitigate language difficulties their learners may experience. The study was guided by the research question: What is the informal mathematical language that Grade 10 teachers use to inform effective instruction when teaching functions? This paper aims to describe how teachers use informal mathematical language to teach inequalities and functions. The research is qualitative and the descriptive method was employed, with the researcher serving as the main instrument. The required data was collected by observing two teachers teaching inequalities and functions. The findings indicate that the use of transliteration and demonstrations as teaching strategies reduced the challenges of using English as a medium of instruction to interpret mathematical symbolic language and that the use of everyday language makes a difference in the learning of functions and inequalities. The study informs both pre-service and in-service teacher development programmes.
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Berta, Tünde. "COMPLEX INSTRUCTION PROGRAMME IN TEACHING OF MATHEMATICS AT PRIMARY LEVEL OF ELEMENTARY SCHOOLS." In 15th International Technology, Education and Development Conference. IATED, 2021. http://dx.doi.org/10.21125/inted.2021.0863.
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Soewardini, Herva Maulina Dewi, Herva Soewardini, Suhartono, Herry Setiyawan, Tri Dayat, and Ayu Suagiarti. "Instructional media with PHP (Programmer Hypertext Preprocessor) to eliminate the boredom of learning mathematics." In Proceedings of the International Conference on Social Science 2019 (ICSS 2019). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/icss-19.2019.141.
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Moore, Schontal. "Caught “Flat-Footed” in the COVID Moment: The Processes, Narratives and Outcomes of Transforming F2F Teacher Training Programmes for Online Delivery in Guyana." In Tenth Pan-Commonwealth Forum on Open Learning. Commonwealth of Learning, 2022. http://dx.doi.org/10.56059/pcf10.1546.
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The Cyril Potter College of Education (CPCE) in Guyana, pre-COVID, had only offered face-to-face teacher training programmes, notwithstanding the enduring presence of online education. Despite Guyana’s expansive geographical terrain, the uneven distribution of subject specialists across the country, and CPCE being the only teacher training institution there – conditions ripe for online/blended modes of instruction – CPCE’s programmes, then, consistently remained face-to-face. Given this modus operandi for instruction, it is unsurprising that CPCE was “flat-footedly” unprepared when COVID hit in 2019. Later, faced with either closing classroom doors indefinitely during the lockdown, or transitioning instruction online for sustainable teacher training, CPCE’s response by October, 2020, was to train seventy-five (75) faculty to convert and facilitate, at first, 28 in-person courses for online delivery in eight specializations, namely: Education, English, Enrichment, Science, Social Studies, Mathematics, Modern Languages, and Technical Vocational Studies. With the Commonwealth of Learning’s assistance, facilitating 30 hours of online workshops plus another 30 hours of asynchronous support, CPCE’s faculty gradually built their capacity to design, develop and teach online courses (DTOC). Based on their resilience with online capacity building, this paper employs a qualitative design, pulling on case study and participatory action research, to share the processes, showcase the narratives and experiences, and to report on the outcomes of CPCE’s journey of transforming face-to-face courses for online delivery even while bolstering the continuous professional development of its faculty.