Data were examined in this study from student records in a large North Texas urban school district who were taught with two different mathematics curricula to determine whether or not they had different effects on student achievement. One of the mathematics curricula, Everyday Mathematics, was developed upon national mathematic standards, written by the National Council of Teachers of Mathematics. The other mathematics curriculum was district-approved, using a textbook from a large publisher, with a more traditional approach. The students selected for the experimental group came from six schools that had implemented the Everyday Mathematics curriculum for the 1998-99 school year. An experimental group was formed from these students. Twelve schools with similar socioeconomic ratios, ethnic makeup and 1998 Iowa Test of Basic Skills mathematic score profiles were selected. A control group was formed from this population of students that was similar to the experimental group with the exception of having been taught using the district-approved mathematics curriculum. These two groups were very similar in socioeconomic, ethnic, gender, and grade level makeup. Most importantly, the experimental group and control group were almost identical (there was no statistically significant difference) in their 1998 Iowa Test of Basic Skills mathematics scores, a gauge used to demonstrate that prior mathematics ability was equal going into the 1998-99 school year. In the statistical analysis, almost all comparisons showed that the experimental group taught with the Everyday Mathematics curriculum had higher scores on the 1999 Texas Assessment of Academic Skills mathematics test. When compared to children with similar mathematics ability at the beginning of the 1998-99 school year, the students in this study who were taught using Everyday Mathematics showed greater achievement gains than students in classes that used the district-approved curriculum.

Research Project in Education for: Masters in Education / This study analyzed the pedagogical practices of three Grade 10 Mathematical Literacy (ML) educators. The rationale behind the study was to add information and insight into the very new and under researched Further Education and Training secondary school subject of ML. Botha (2011) discussed how one of the main concerns with ML integration into the South African national curriculum was that the educators being asked to teach ML were moved into it from other subjects without any real education or training, and so when teaching, relied on previously learned pedagogical practices from other subjects. It is the contention of this study that this is a real issue in terms of the teaching of ML in classrooms and in terms of damaging its perceived academic status. In order to offer insight into how ML is its own distinct subject and not simply a lesser version of Mathematics, this study analyzed three lessons of each of the three educators through the lens of Pedagogical Link Making (PLM) (Scott, Mortimer, & Ametller, 2011). PLM was the conceptual framework that guided the observations and post observation interviews, and through analysis of the educators’ pedagogical practices as well as a thematic analysis of discussion points during the interviews, this study came to five major findings. The findings suggested that the ML educators were not properly educated in ML pedagogy and that the educators made the majority of pedagogical decisions in the classroom based on generating learner interest and motivation for work. It also found that the educators used many of the links outlined by PLM, but also admitted to holding a lower academic expectation of ML and ML learners. A call is made to increase research into the relatively new subject of ML along the lines of pedagogical practices in order to assist new ML educators to translate and transmit the goals and content of ML provided for by the Curriculum and Assessment Policy Statement (CAPS

Thesis (MEd)--Cape Peninsula University of Technology, 2019. / The mathematics results in South Africa are alarmingly low, with a number of high school learners unable to compute basic operations. International test results show South Africa consistently ranks low in comparison to other countries whilst Singapore continues to perform well. Some schools in South Africa have decided to adopt the Singaporean method of teaching mathematics, known as Singapore Maths, in the hope of improving learner results. This study seeks to understand how two different curricula, South African and Singapore, provide opportunity for the development of algebraic thinking in the Foundation Phase. There is ongoing research which suggests a link between algebraic thinking (Early Algebra) and a deeper conceptual understanding of mathematics (Blanton & Kaput, 2003). This study comprises a qualitative case study of two schools using different curricula and textbooks to teach algebraic thinking with a special focus on patterns and functional thinking. Data were gathered using document analysis of curriculum and textbooks; learner tests; semi structured interviews with class teachers and focus group interviews with Grade 3 learners from each curriculum group. The analysis process involved pattern matching and building explanations related to each data collection instrument using Blanton, Brizuela, Gardiner, Sawrey and Newman-Owen’s (2015) levels of sophistication in learner’s thinking about functional relationships. The results of the study suggest that although South African learners have the potential to think algebraically, they are not, however, always offered the opportunities to do so. The importance of suitable mathematical activities and scaffolding is highlighted and the critical need for professional development for teachers in which the importance of Early Algebra is defined and explained. It is imperative that the curriculum and textbooks activities are relooked at to address the development of algebraic thinking in the early grades and shift the focus from an emphasis on arithmetic relationships to thinking in generalised ways about functional relationships.

This study investigates the beliefs of Aboriginal children, their parents, Aboriginal educators and non-Aboriginal teachers towards the learning and teaching of mathematics in years 5 and 6 in a rural community in New South Wales. Areas explored include the beliefs expressed by the students, their parents and educators about mathematics education, how these sets of beliefs compare and contrast, and what the pedagogical consequences are for mathematics education based on these beliefs. The study was conducted in a rural school following trials in other sites. Conversational interviews were conducted and from the transcript sixteen core categories of beliefs across all participant groups were identified. The belief statements demonstrate the complex nature of the social, cultural, economic, historical and political contexts in which the learning of mathematics takes place. A number of actions intended to enhance Aboriginal children's learning of mathematics are proposed. Non-Aboriginal teachers need to share their beliefs with the Aboriginal community, and conversations need to occur between Aboriginal and non-Aboriginal people about mathematics education. Teachers require pedagogical strategies that address Aboriginal children's learning of mathematics, and educational systems need to include an Aboriginal perspective in mathematics curricula. Future collaborative research in mathematics education has to be based on the premise of researchers working in close co-operation with Aboriginal people / Doctor of Philosophy (PhD)

The aim of this research project was to explore Grade 10 Mathematics teachers understanding and practices in implementing the NCS in their rural schools. The research further explored perceptions teachers have about the curriculum. The research was conducted in four rural schools under Ugu District the Lower South Coast Region of KwaZulu–Natal which were randomly selected based on the rural location of the schools. Four teachers one from each school were selected on condition that they had taught Grade 10 Mathematics for more than two years from 2006. The data was collected from questionnaires, observations and interviews. The study was focused on the understanding and teaching practices that teachers have as they go about implementing Grade 10 Mathematics curriculum in their schools. The findings of the study indicate that generally the teachers felt the content of the curriculum was appropriate for their Grade 10 learners. However it was also found that not only one teacher made an attempt to mediate in context. In terms of assessment all the teachers supported the traditional methods of assessment, and had a superficial understanding of assessment. None of the teachers used lesson plans while teaching. In terms of support none of the teachers received unsolicited help from their HODs or school management. In terms of classroom teaching, none of the lessons that were observed included feedback or consolidation of previous work. The lessons of the teachers were also very poorly resourced. The recommendations of this study are that teachers need to familiarise themselves with the current policy documents and to make more effective use of their teaching time Furthermore the school management teams also need guidance on how to provide teachers with support that can help them improve their teaching. / Thesis (M.Ed.) - University of KwaZulu-Natal, Edgewood, 2012.

The need for developing mathematics curricula was clarified. Models of mathematics curriculum development in Egypt were identified as: \"Temporary Committees\" (TC), center of developing curriculum and educational materials (CDCEM), \"National conferences\" (NC) and \"Educational standards\" (ES). The advantages and disadvantages of each one of these models were evaluated. Then a new model was suggested covering the whole advantages of these models and avoiding their disadvantages.

The researcher's experience as a high school mathematics teacher in several African countries convinced her that a good number of mathematics learners exhibit serious difficulties in conceptualising mathematics properly. Her experience in teaching the subject in the Ciskei since 1990 reinforced this conviction. The researcher's natural curiosity to probe into the causes of the poor state of mathematics education in the region served as the springboard into her investigation. Her thoughts developed in line with the emerging educational theories of social constructivism. This provided a conceptual framework for the solution of the problem, the feasibility of which was put to test practically in a Ciskeian classroom. She explicates that the difficulties experienced by the pupils in conceptualising mathematics are philosophically deep rooted and latent in the present system of mathematics education itself, which, in Ciskei, impedes the learners' conceptualisation owing to numerous problems related to their linguistic and cultural situatedness. In the analysis of the present system of mathematics education in the Ciskei she reviews a few recently published mathematics text books in the context of the topics chosen for her research study. The results of her classroom investigation establish that a possible solution to the problem lies in the social constructivist teaching approaches.

The need for developing mathematics curricula was clarified. Models of mathematics curriculum development in Egypt were identified as: \"Temporary Committees\" (TC), center of developing curriculum and educational materials (CDCEM), \"National conferences\" (NC) and \"Educational standards\" (ES). The advantages and disadvantages of each one of these models were evaluated. Then a new model was suggested covering the whole advantages of these models and avoiding their disadvantages.

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"To discuss the effect all this war activity has had upon the Dallas Schools and to voice a protest against those who seek to discredit mathematics and at the same time to contribute a readable thesis upon the subject is largely the purpose of this study." --leaf 2