This study examined the effects of specially designed thinking journal activities that have been attributed with encouraging reflective thinking, on instruction using generic, or content-free problem solving software. Sixty-three fourth grade students participated in four instructional sessions using a software package called Moptown Hotel. Students completed separate posttests that measured (1) performance on problems of the same kind as those used in instruction, and (2) transfer of skills to other kinds of problems. Scores of students who wrote thinking journals prior to testing were compared with scores of students who did not. Results indicate that students who wrote thinking journals performed the same as students who did not when tested on problems similar to those practiced in class. Tests in which students transferred their skills to word problems, however, produced significant differences. There was no significant difference between scores when averaged over all four weekly occasions. However, for the final session alone, students who wrote thinking journals scored higher on tests of problem solving transfer than students who did not (p < .01). The study also examined the relationship between the degree of metacognitive thought displayed in students' journal entries, and their measured problem solving ability. Results indicate that students who had higher average reflectivity scores also had higher average problem solving performance and transfer scores (p < .05). It was also noted that the significant relationship between reflectivity and scores of problem solving ability was only observed in male students. It was concluded that under the right conditions, and for the right kinds of problems, thinking journal writing can help students understand their own thinking processes, resulting in improved problem solving behavior. The study also raises the question of whether there are differences between the ways that male and female students apply metacognitive awareness gained through journal writing experiences.

Specific to the recommendation of the National Council of Teachers of Mathematics (1980) to identify and analyze problem solving strategies and the settings in which the development of these strategies could be optimized, this study is a compilation of three case studies which describe what elementary school children say and do when solving verbal mathematics problems in small groups. Persuant to this goal, three four-member groups were selected and asked to reach a consensus within each group on the solution to a variety of routine and non-routine problems. In this relatively unstructured setting, transcriptions of verbal interactions, written records of all computations, and observer notes were compiled for each group. The resulting identification and description of the problem solving behaviors which occurred were analyzed in terms of two broad interactive functions by which children seek to understand verbal problems: the construction of mental representations or physical displays of the problems and the evaluations of these constructions. Representations, in this perspective, are constructed at two levels: a contextual level at which the problem situation is linguistically interpreted and a structural level at which a statement of a problem underlying mathematical structure is defined. Evaluations also occur which allow group members to monitor their understanding and direct the course of the problem solving effort. The findings indicate that intermediate aged children when solving problems in small groups display general patterns of behavior. These patterns of behavior include: the manner in which the groups approach and effectively isolate the contextual elements of a verbal problem, the propensity of groups to change the mode in which a problem is represented by utilizing manipulatives, diagrams, tables and other physical displays, and the manner in which groups monitor the course of problem solving and reach consensuses on solution proposals. Within this general pattern, however, specific subject and task variables characterize individual groups, affecting both the group interaction and the incidence of specific problem solving behaviors. These findings suggest practical classroom applications for group problem solving formats in the elementary school classroom. Additional research, however, must provide the link between group problem solving and individual performance.

published_or_final_version / Education / Master / Master of Education

published_or_final_version / Education / Master / Master of Education

published_or_final_version / Education / Master / Master of Education

The purpose of this study was to extend our current knowledge about what happens in physical science classrooms. The focus was the context of problem tasks. This involved the study of the situations, events and factors that relate to the solving of problem tasks at high school in order to understand their role and nature. e problem tasks that were central to this study were well defined, narrow in focus, and invariably involved the calculation of some quantity through the use of a formula and algebraic manipulation. The main questions that guided the study were as follows: What is happening in physical science classrooms? What is the nature and role of problem solving within this context? What are some of the consequences of organising teaching and learning in this manner? How do external forces influence what happens? The study aimed at describing the activities that the teachers and students were involved in and understanding how they understood their own actions. An interpretive research approach was chosen for this purpose, having as its basis a detailed descriptive foundation using classroom observation. Two high school science classrooms were studied in detail over a period of a year. The data gathered included field notes from over a hundred classroom visits, extensive video and audio records, questionnaires, classroom documents and formal an informal interviews with teachers, students and examiners. Through a process of careful and systematic analysis of the data, six assertions emerged. These assertions are supported by both particular evidence in the form of analytic narrative vignettes, quotes and extracts, and general evidence consisting of frequency data and summary tables. The analysis reveals that problem tasks occupied most of the teaching and learning time, and that the students found this experience of school science boring. Most of the problem tasks were routine in nature and of low conceptual demand. The majority of the students were unable to solve the more difficult tasks encountered in their tests and examinations. In addition, a significant number could not solve the routine problem tasks. This suggests that the predominant instructional strategies were ineffective. It was found that participants had an uncritical belief in the efficacy of teacher explanations and student practice on problem tasks. Further, the participants had different views of the role of problem tasks. A significant finding was that the examination exerted a powerful focusing influence on the classroom environment, the instructional activities and on the problem tasks used . It appeared that the ultimate goal of school physical science was to solve these types of problem task in preparation for the high stakes examination, rather than the learning of science. The study has implications both for practice and for research on the teaching and learning of school physical science. These implications are discussed in terms of instructional strategies aimed at promoting a deeper understanding of physical science. In order to improve practice it is advocated that the role of problem tasks in learning science be made explicit while at the same time new types of instructional task need to be designed to achieve our goals for school science. / Thesis (Ph.D.)-University of Natal, Durban, 1999.

Die tesis is voorgelê ter verwerwing van die graad: Magister in Opvoedkunde aan die: Cape Peninsula University of Technology, 2012. Afrikaanse abstrak: Hierdie navorsing het die gebruik van probleemoplossings-onderrigtegnieke deur onderwysers in die Rekenaartoepassingstegnologie (RTT) –klaskamer ondersoek. Kriteria ten opsigte van probleemoplossingsvaardighede soos uiteengesit in die Nasionale Kurrikulumverklaring (NKV ) en die Nasionale Kurrikulum- en Assesserings- Beleidsverklaring (NKABV) vir RTT was toegepas in hierdie studie. RTT word slegs vanaf graad 10 in die verdere onderwys- en opleidingfase (VOO) as „n keusevak aangebied. Dus was die navorser se fokus op die omliggende sekondêre skole wat RTT aanbied. Die navorsing konsentreer op die onderwyser en sy toepassing van probleemoplossings-onderrigtegnieke. Die navorser het gebruik gemaak van gevallestudie as navorsingsontwerp en konstruktivisme as raamwerk toegepas. Klaskamer-observasies, onderhoude en beide formele en onderwyser - geskepte dokumente het gedien as bronne vir data. Die data was tematies ontleed om die betekenis daarvan te ontgin. Die analise van die data dui aan dat respondente nie aan die vereistes gestel deur die NKABV en NKV, ten opsigte van die aanbieding en assessering van probleemoplossings-onderrigtegnieke, voldoen nie. Die navorser beveel aan dat „n moontlike oplossing vir die onderwyser-respondente se gebrek aan kennis en onderrigvaardighede met betrekking tot probleemoplossings-onderrigtegnieke kan wees dat daar spesifieke kursusse oor hierdie onderwerp aangebied word. Die navorsing skep ook ʼn geleentheid vir tersiêre instellings om hulle kurrikula en opleidingsprogramme sodanig aan te pas ten einde die leemtes, soos uitgewys deur die navorsing, aan te spreek. / This research explored the utilization of problem solving techniques by Computer Applications Technology (CAT) teachers in grade 11. The requirements and criteria as set out in the National Curriculum Statement (NCS) and the National Curriculum and Assessment Policy Statement (CAPS), were applied in this study. CAT is only introduced in grade 10 in the Further Education and Training (FET) phase. The researcher thus focussed on the surrounding schools that offer CAT as a subject. The research focussed on the teacher and the teaching of problem solving techniques in CAT. The researcher used a case study design and employed a constructivism as the theoretical framework. Classroom observations, interviews and both teacher generated and formal documents served as data sources. A thematic analysis approach was adopted to make sense of the data. The analysis of the different data sources indicated that the respondents did not fully comply with the requirements set by the NCS and CAPA with reference to the teaching of problem solving techniques in CAT. The researcher recommends that courses are presented to address the gaps in the knowledge and skills of teachers in CAT referring to problem solving techniques. This creates both the opportunity and challenge to tertiary institutions to align their curricula and training programmes to address the gaps identified by this research.

The study was undertaken with three Grade 9 teachers at three selected schools which are part of RUMEP’s Collegial Cluster Schools’ programme that I coordinate. Collegial clusters are communities of teachers who aim at improving their practice by working on their own professional development. The purpose of this study was to investigate the selected Grade 9 teachers’ experiences of a Geoboard intervention programme. It also wanted to investigate the role that a Geoboard can play in the teaching and learning of area and perimeter of two-dimensional shapes. The research was a case-study within the interpretive paradigm. A variety of data collection techniques was used. These included baseline assessment tasks, observations during the intervention programme, post intervention assessment tasks and semistructured interviews with the participating teachers and a few learners from each participating school. The collected data was analysed using both the quantitative and qualitative methods. My research findings reveal that a Geoboard, as a manipulative, developed confidence in the participating teachers. In the interviews with teachers, it transpired that teachers’ skills in teaching area and perimeter of two-dimensional shapes had been sharpened. According to the interviews with learners, the use of a Geoboard led to better conceptual understanding of the area and perimeter, as learners no longer had to rely on formulae. Kilpatrick et al. (2001) refer to conceptual understanding as an integrated functional grasp of mathematical ideas. The post intervention assessment task showed a positive shift in learners’ performance. The average learner performance improved from 29% in the baseline assessment task to 61% in the post intervention assessment task. This shows that the use of a Geoboard led to meaningful learning of area and perimeter of two-dimensional shapes. The overall research findings reveal that the use of manipulatives has a positive impact in the teaching and learning of area and perimeter. Learners’ responses to the interview questions showed that there was better understanding of the two concepts, which enabled them to construct their own knowledge. They further said the Geoboard allowed them to be hands-on, which contributed to their active involvement in the lesson.

The purpose of this study is to examine the cultural relevance of the Peacebuilders model. The study shows that programs such as Peacebuilders need to address concepts of culture that will enhance the diversity of program participants. Many schools and school districts are utilizing these programs to head off student violence, resolve student conflicts and premote school wide harmony.

Although there is extensive research demonstrating the benefits of teaching problem solving repertoires to typically developing individuals, there is little research on the effectiveness of these kinds of procedures with individuals with special needs. In this study, a group of special education students in a public school were taught problem solving skills using a curriculum called Talk Aloud Problem Solving (TAPS), which was developed by Robbins (2014). TAPS teaches students five problem solving skills and five active listening skills. This study utilized a multiple baseline design to examine whether training in TAPS would change the way that students solve problems and increase their accuracy when solving problems. In addition, a reversal design was used for each participant, consisting of the presence and the removal of the active listener during different stages of the study. After TAPS training and guided practice sessions, all students demonstrated new problem solving repertoires and their accuracy improved. For some students, having an audience (an active listener) was necessary to maintain their behavior. Further research is needed to determine how to teach students to be their own active listener.