Education Commons^™

Learning And Teaching Mathematics K-7: Book 3, Jack Bana, Brian Farrell, Ron Gleeson, Kevin Jones, Alistair Mcintosh, Paul Swan

Research outputs pre 2011

No abstract provided.

Research In Mathematics Education: A Contemporary Perspective, Alistair Mcintosh (Ed.)

Research outputs pre 2011

The twelve chapters in this book-all but two written by researchers in Australian universities-provide ample evidence of the impressive contributions currently being made by Australia to research in mathematics education. The authors' fields of inquiry are diverse: they include discussion of the roles of language and imagery, problem posing and problem solving, students' beliefs and students' thinking, gambling and mental computation. T!1eir methodologies are no less diverse, incorporating descriptions of both quantitative and qualitative research projects, including action research in classrooms, theoretical perspectives and the development of theoretical models, reviews of research, surveys, clinical interviews and descriptions of new research …

Evaluating Action Research As A Model For School-Based Professional Development Of Secondary Mathematics Teachers In The Philippines, Florenda L. Gallos

Theses: Doctorates and Masters

This study documented a school-based professional development activity conducted in a secondary school in the Philippines where five secondary mathematics teachers and the head of the school participated in a program of action research. The effectiveness of action research as a form of professional development and the constraints in using this form of professional development in the Philippines were evaluated based on the changes on teachers in terms of pedagogical knowledge, practices and beliefs. Qualitative research techniques were used. The methodology included questionnaires, interviews, class observations and diaries. The results indicated that the involvement of the participants in the action …

Professional Development And Practice: A Study Of Early Childhood Teachers Of Mathematics, Wendy Hawthorne

Theses: Doctorates and Masters

In the past twenty years there has been increased interest in the ways in which teachers construct their professional lives. It is no longer assumed that preservice education alone will enable teachers to meet the challenges of their teaching lives. Ongoing professional development is seen as an essential component of contemporary teachers' lives but remains a challenge for professional development planners and providers. The nature and extent of teachers' participation in professional development was a significant dimension of the investigation of professional development contained in this thesis. The research questions which formed the basis for the data collection in this …

How Schools In Western Australia Are Responding To The Pressures Of Accountability In Mathematics Education, Lynne Messenger

Theses: Doctorates and Masters

Western Australian primary schools have responded to the Education Department's call for school accountability in many areas of the school accountability. This study focuses on the endeavours that schools have made to demonstrate their accountability in the subject area of Mathematics. The document "Improving and Reporting Schools' Performance" was made available to all state primary schools at the beginning of the 1996 school year as part of the Student Outcome Statement package. However, only a small number of primary schools have used the Student Outcome Statements in Mathematics in the National Professional Development Program trial conducted by the Commonwealth Department …

Number Sense In School Mathematics: Student Performance In Four Countries, Alistair Mcintosh, Barbara Reys, Robert Reys, Jack Bana, Brian Farrell

Research outputs pre 2011

Since 1988 teams of researchers in the United States, Japan and Australia have been involved in a collaborative research project to assess the mental computation ability of their students. The results of this research have been reported elsewhere (Mcintosh, Bana & Farrell 1995; Mcintosh, Nohda, Reys & Reys 1995). The researchers involved were Professors Robert and Barbara Reys of the University of Missouri - Columbia, Professor Nobuhiko Nohda of the University of Tsukuba and Alistair Mcintosh, Jack Bana and Brian Farrell of Edith Cowan University, Perth, Western Australia.

The United States and Australian researchers went on to assess the number …

Investigating Assessment Strategies In Mathematics Classrooms : A Cd-Rom Resource Enabling Teachers To Explore Assessment Strategies In Mathematics Education, Tony Herrington, Len Sparrow, Jan Herrington, Ron Oliver

Research outputs pre 2011

No abstract provided.

Investigating Teaching Strategies In Mathematics Classrooms : A Cd-Rom Resource Enabling Teachers To Explore Teaching Strategies In Mathematics Education, Tony John Herrington, Len Sparrow, Jan Herrington, Ron Oliver

Research outputs pre 2011

Teaching mathematics has traditionally followed a standard pattern across the world. Students are placed in classrooms where they are seated individually, are required to listen passively and observe the teacher demonstrating mathematical procedure and then s1 end extensive time practicing the newly acquired ski ll s. Generally the content being taught comprises mathematical facts and skills taught sequentially in the order presented by a textbook. Students are then assessed by unseen pencil and paper tests for the purpose of grading and ranking. This cycle is then repeated with another mathematical topic which is viewed by students as discrete from the …

Calculator Use In Western Australian Primary Schools, Len Sparrow, Paul Swan

Research outputs pre 2011

There are very few issues in mathematics teaching over the past twenty five years which have caused so much debate among teachers, parents and the community than the use of calculators in primary schools. Letters to newspapers, magazine articles and public comment often express the opinion that the apparent decline in the ability of young people to calculate, even simple computations, is a direct result of the use of calculators in schools. Anecdotal evidence in the form of reports from teaching practice students, personal observation in schools and comments from teachers suggests there is, in fact, very little calculator use …

Extending And Exploring Students' Problem Solving Via Problem Posing, Elena N. Stoyanova

Theses: Doctorates and Masters

Despite the fact that problem posing has been recommended as a useful mathematical activity in the curriculum documents of several countries, research about the types of problem-posing situations in which students could be involved, and about the effects of these problem-posing activities on students' mathematical performance is limited. The application of problem posing in school mathematics has been hindered by the absence of a framework which links problem posing, problem solving and mathematics curricula

Teachers Of Mathematics Teach Mathematics Differently : A Case Study Of Two Teachers, Jennie Bickmore-Brand

Theses: Doctorates and Masters

This thesis investigates the different approaches adopted by two teachers for teaching mathematical content at the upper primary level of education. Questions have been raised by researchers about the impact teachers' philosophical background may have on their perception of how mathematics should be taught. Similarly questions have been asked about the role of content in mathematics education in relation to the process of education. The two teachers held different beliefs about what they were doing when they were teaching mathematics and why they were teaching that way. Their methodological emphases were different; one could be described as being more learner-centred …

Children's Knowledge And Understanding Of Basic Number Facts, Jack Bana, Richard Korbosky

Research outputs pre 2011

Automatic recall of all the basic number facts is a major objective in primary school mathematics. This is an objective that is not easily attained. Many students have problems acquiring the skills which lead to correct and immediate responses (automatic recall) for all the basic number facts. Knowledge of the basic number facts is essential for undertaking all computation efficiently. These basic facts are defined as 0 + 0 to 9 + 9 for addition and their subtractive opposites; and 0 x 0 to 9 x 9 for multiplication and their inverses in division. This is a total of 390 …

Mental Computation In School Mathematics: Preference, Attitude And Performance Of Students In Years 3, 5, 7 And 9, Alistair Mcintosh, Jack Bana, Brian Farrell

Research outputs pre 2011

Commencing in 1989 a team consisting of Alistair Mcintosh, Paul Swan and Ellita de Nardi at Edith Cowan University, Perth, Western Australia, probed the strategies used by children of primary school age when calculating mentally, with a view to developing and promoting more appropriate and effective mental computation...This present monograph, which looks at the mental computation of Western Australian students in Years 3, 5, 7 and 9, is one of the outcomes of this collaborative research project.

Issues In Primary Mathematics Education Computers: Classroom Practice And Curriculum Reform, Lorraine Kershaw, Kevin Jones, Len Sparrow

Research outputs pre 2011

The advent of an interactive multimedia approach in teaching and learning has opened up yet another horizon to be explored in search of the perceived potential of the computer in primary mathematics education. Benefits promoted have included its use as a motivational aid, the developing of content knowledge and problem solving skills of children of varying abilities, its capacity to support an integrated curriculum, and to assist children in controlling their own learning. Many have doubts about the veracity of these assertions and disagree about the types of appropriate uses of the computer. For classroom teachers, software and hardware availability, …

Issues In Primary Mathematics Education: Calculators: Research And Curriculum Implications, Len Sparrow, Lorraine Kershaw, Kevin Jones

Research outputs pre 2011

Calculators: Research and curriculum implications is one of a series of monographs on issues in primary mathematics education. It has been written to support initiatives in the development of student-centred learning programs at Edith Cowan University - programs designed to accommodate current views on effective adult learning strategies, as wells as the development of professional and generic (key) competencies. Irrespective of the nature of individual learning programs, students and teachers working at undergraduate and postgraduate levels will find the series useful- either as a synthesis of currently available research findings and reference material, to identify potentially significant initiatives and developments …

Number Sense And Computation In The Classroom, Kevin Jones, Lorraine Kershaw, Len Sparrow

Research outputs pre 2011

Number sense and computation in the classroom is one of a series of monographs on issues in primary mathematics education. It has been written to support initiatives in the development of student-centred learning programs at Edith Cowan University - programs designed to accommodate current views on effective adult learning strategies, as wells as the development of professional and generic (key) competencies. Irrespective of the nature of individual learning programs, students and teachers working at undergraduate and postgraduate levels will find the series useful- either as a synthesis of currently available research findings and reference material, to identify potentially significant initiatives …

Determining The Validity And Reliability Of An Instrument Designed To Measure Metacognitive Behaviours, Anne L. Martin

Theses : Honours

This project was designed to study the role of metacognition in mathematical problem solving. More specifically, it was designed to determine the validity and reliability of an instrument proposed to identify metacognitive behaviours in Year 7 children solving problems. The instrument was used to analyse audio tapes of pairs of students working on a non-routine problem (i.e., a problem that cannot be solved solely by the direct application of the basic operations). Analysis of the audio tapes involved categorizing metacognitive decisions as: orientation, organization, execution, and verification behaviours. A "cognitive-metacognitive" framework (Garofalo & Lester, 1985) was used as a basis …

A Study Of The Benefits Of Reflection By Journal Writing In Mathematical Learning And Attitudes In The Primary School, Sally Edmonds

Theses : Honours

This descriptive study examines journal writing for the purpose of identifying aspects of children's mathematical reflective ability. It was hypothesised that encouragement to engage with the process of mathematics by reflective writing would reveal and assist learning, and give children a vehicle through which they could express their attitudes about the mathematics they were learning. The aim of this study was to find answers to the following question: How does the keeping of a mathematical journal reveal children's understandings of the mathematics they are learning? Other questions related to the study were: -What evidence is there from the journals about …

Using Hypermedia To Improve The Dissemination And Accessibility Of Syllabus Documents With Particular Reference To Primary Mathematics, Alistair B. Campbell

Theses: Doctorates and Masters

The fundamental question that this study set out to investigate was: Can the advantages of hypermedia be extended to curriculum materials that are for the sole use of teachers? To consider this question, three areas needed to be investigated: hypermedia (the medium); teachers (the target) and curriculum documents (the content). Hypermedia has a long history dating back to Bush (1986) who in 1945 imagined his Memex system as building information trails between ideas. However, it was not until the mid 1980s that technology caught up with the theory and hypermedia came of age. The evaluation of hypermedia documents is still …

Sex-Related Differences In Autonomous Learning Behaviours And Mathematics Achievement, Laura Beahan

Theses : Honours

The autonomous learning behaviour model proposed by Fennema and Peterson (1985a, 1985b) hypothesises that sex- related differences in mathematics are a result of sex-related differences in autonomous learning behaviours. Autonomous learning behaviours include choosing to engage in high-level tasks, preferring to work independently on such tasks and persisting at them. The purpose of this study was to investigate sex-related differences in autonomous learning behaviours and to determine any relationship between the presence of these behaviours and achievement in mathematics. Twelve students studying the Year 1 unit "Foundations of Mathematics" were selected for the study, including two males and two females …

The Relationship Between Cooperative Small Group Composition And The Learning Of A Mathematical Concept In The Primary School Years: A Pilot Study, Susan Eaton

Theses : Honours

In recent years small group cooperative learning has been given increasing attention by researchers. This interest has been a result of n growing awareness of the benefits that small group cooperative learning can bring to the learning process. These benefits include gains in areas of academic achievement, self-confidence as a learner, cross-cultural/cross-racial relationships, social acceptance of mainstreamed students, and improved attitudes towards school and learning. A particular focus of North American researchers has been small group cooperative learning in mathematics. Little work had been done in this area in Western Australian schools and with the changed emphasis in the Western …