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.

The problem of this study was to measure, to compare, and to analyze the amount of stress, as indicated by heartbeat rate, experienced by students during teaching-learning activities in sixth-grade mathematics in a regular classroom. The bases for comparison were the heartbeat rates of selected students as recorded by a cardiotachometer and achievement scores on pretests and posttests dealing with verbal problems. All data were analyzed using the t-tests for the significance of the difference between the means. Findings of the study showed that students did experience increased heartbeat rates while solving verbal problems in sixth-grade mathematics. Also, during the teaching-learning activities, students who solved verbal problems using the realistic approach did not experience more stress than students who solved problems using the standard approach. The standard group did not perform significantly better than the realistic group on the standard pretest-posttest. However, students who were involved in the realistic method achieved better on all types of problems than did students who were taught by the standard method.

The purposes of this study were (1) to determine if learning to program a computer in either BASIC or Logo improves the problem-solving skills of fifth grade students when compared to a control group that receives no programming instruction, and (2) to determine if learning to program a computer in Logo is more effective than learning to program in BASIC for improving problem-solving skills in fifth grade students. Subjects were 132 fifth graders from two suburban elementary schools. The materials used in the study were the Computer Challenge Guide for the BASIC group and Logo in the Classroom for the Logo group. The New Jersey Test of Reasoning Skills was used as the pretest and posttest measure.

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The aim of this study was to critically examine the role and function of emotions in primary school children's meaningful learning. Emotions that are commonly experienced by primary school children were identified and an indication was given of how they relate to meaningful learning. Factors that affect both emotions and meaningful learning were also discussed. In an empirical investigation that was undertaken, it was found that emotions influence meaningful learning of primary school children either positively or negatively. The following emotions pointed to both positive and negative significant correlations with regard to meaningful learning: anger, aggression, anxiety, fear, love, joy and affection. Factors like family size, gender and the environment (life world of primary school children) also influence meaningful learning. / Psychology of Education / M.Ed.(Psychology of Education)

The aim of this study was to critically examine the role and function of emotions in primary school children's meaningful learning. Emotions that are commonly experienced by primary school children were identified and an indication was given of how they relate to meaningful learning. Factors that affect both emotions and meaningful learning were also discussed. In an empirical investigation that was undertaken, it was found that emotions influence meaningful learning of primary school children either positively or negatively. The following emotions pointed to both positive and negative significant correlations with regard to meaningful learning: anger, aggression, anxiety, fear, love, joy and affection. Factors like family size, gender and the environment (life world of primary school children) also influence meaningful learning. / Psychology of Education / M.Ed.(Psychology of Education)

This study examined “problem solving skills in circle geometry concepts in Euclidean Geometry. This study was necessitated by learners’ inability to perform well with regards to Euclidean Geometry in general and Circle Geometry in particular. The use of naturalistic observation case study research (NOCSR) study was employed as the research design for the study. The intervention used for the study was the teaching of circle geometry with Polya problem solving instructional approach coupled with social constructivist instructional approach. A High School in the Northern Cape Province was used for the study. 61 mathematics learners (grade 11) in the school served as participants for the first year of the study, while 45 mathematics learners, also in grade 11, served as participants for the second year of the study. Data was collected for two consecutive years: 2018 and 2019. All learners who served as participants for the study did so willingly without been coerced in any way. Parental consent of all participants were also obtained. The following data were collected for each year of the research intervention: classroom teaching proceedings’ video recordings, photograph of learners class exercises (CE), field notes and the end-of-the- Intervention Test (EIT). Direct interpretations, categorical aggregation and a problem solving rubric were used for the analysis of data. Performance analysis and solution appraisal were also used to analyse some of the collected data. It emerged from the study that the research intervention evoked learners’ desire and interest to learn circle geometry. Also, the research intervention improved the study participants’ performance and problem solving skills in circle geometry concepts. Hence, it is recommended from this study that there is the need for South African schools to adopt the instructional approach for the intervention: Polya problem solving instructional approach coupled with social constructivist instructional approach, for the teaching and learning of Euclidean geometry concepts. / Mathematics Education / M. Sc. (Mathematics Education)