Digital Commons Network^™

Primary School Teachers’ Experience Of Mathematics Education: A Phenomenological Study, Sarah Jane Tamburri

Theses: Doctorates and Masters

Researchers and policymakers agree that all children can learn mathematics, and research has shown that teaching practices have a significant impact on student learning and achievement. Therefore, it is important that teachers are supported in their development as professionals and mathematics educators. This research gives a voice to a small number of primary school mathematics teachers, providing insight into their experience of mathematics education, from their perspective. In-depth interviews form the basis of data collection and these have been analysed through a transcendental phenomenological approach. The insights gained into teachers’ experiences and perspectives provide a deeper understanding of their role …

Teaching For Students' Confident Transition From Number To Algebra, Christina Lang Lee

Theses: Doctorates and Masters

The adoption by all states and territories of the national curriculum by 2013 saw students in schools across the country taught introductory algebraic concepts from Year Five. In the twenty first century the need to be algebraically competent has become a necessity much as computation was in the previous centuries.

The Researcher has found from experience that students who have struggled with number and number operations will then most probably make poor progress in their study of algebra. The transition from number to algebra requires a robust understanding of number and number operations

This study investigated the balance of instructional …

Bit Error Rate Estimation In Wimax Communications At Vehicular Speeds Using Nakagami-M Fading Model, Biswojit Bose

Theses: Doctorates and Masters

The wireless communication industry has experienced a rapid technological evolution from its basic first generation (1G) wireless systems to the latest fourth generation (4G) wireless broadband systems. Wireless broadband systems are becoming increasingly popular with consumers and the technological strength of 4G has played a major role behind the success of wireless broadband systems. The IEEE 802.16m standard of the Worldwide Interoperability for Microwave Access (WiMAX) has been accepted as a 4G standard by the Institute of Electrical and Electronics Engineers in 2011. The IEEE 802.16m is fully optimised for wireless communications in fixed environments and can deliver very high …

Numeracy Support For Year Two Students, Gillian Dawn Hurle

Theses: Doctorates and Masters

Research of teaching theories and intervention programs internationally and in Australia suggests that the implementation of numeracy support programs can improve student achievement levels (Fuchs, 2005; Ketterlin-Geller, Chard & Fien, 2008; Van Kraayenoord & Elkins, 2004). An intervention program was conducted for a small group of Year Two students with the aim of improving their numeracy skills over a 20 week period. Results of two mathematics assessments, together with information provided by teachers based on classroom observations and informal assessments were combined to select a group of twelve students who were considered to be at risk of developing mathematical difficulties. …

Enhancing The Teaching And Learning Of Computational Estimation In Year 6, Paula Mildenhall

Theses: Doctorates and Masters

There have been repeated calls for computational estimation to have a more prominent position in mathematics teaching and learning but there is still little evidence that quality time is being spent on this topic. Estimating numerical quantities is a useful skill for people to be able to use in their everyday lives in order to meet their personal needs. It is also accepted that number sense is an important component of mathematics learning (McIntosh, Reys, Reys, Bana, & Farrell, 1997; Paterson, 2004) and that computational estimation is an important part of number sense (Edwards, 1984; Markovits & Sowder, 1988; Schoen, …

Computerized Adaptive Testing In Mathematics For Primary Schools In Thailand, Chaowprapha Chuesathuchon

Theses: Doctorates and Masters

A new system-wide educational change has been introduced in Thailand requiring, amongst other things, that technologies for education be utilized in all levels of education. This study focuses on Mathematics Computerized Adaptive Testing (CAT) designed to provide Thai primary school teachers with an innovative method of assessment, one of the effective tools of new technology to be used in Thai primary schools. This study aims to: (1) construct multiple-choice test items for a Mathematics course on the topic of Equations for Year 6 (Prathom Suksa 6) students in Thailand; (2) calibrate the test items using a Rasch Measurement Model, investigate …

An Exploratory Case Study Using An Expert Learning Process Designed To Promote Number Sense In A Year 6 Classroom, Paula Mildenhall

Theses: Doctorates and Masters

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The Effect Of Money As A Context On Students' Mental Computation Performance In Years 3, 5, 7 And 9, Anne Paterson

Theses: Doctorates and Masters

The purpose of this study was to research the effect of money as a context on school students’ mental computational performance and strategy choices across a range of ages. This study adds to existing research, which has compared students' mental computational methods with their written methods, by the provision of the single common context of money. The content topics of whole and other rational numbers (simple fractions, decimals, and some percentages) were covered. Forty-eight primary school students plus sixteen secondary school students were involved in this study, with equal numbers of both genders from the two primary schools and one …

Wavelet-Based Simulation Of Geological Variables, T. T. Tran

Theses: Doctorates and Masters

This thesis introduces a number of conditional simulation algorithms using wavelet bases. These make use of two orthogonal wavelet bases, the Haar and the Db2 bases. Firstly, two single-level algorithms are introduced, HSIM: with the Haar basis and DB2SIM with the Db2 basis. HSIM reproduces the histogram and semivariogram model of isotropic samples but not the semivariogrnm model of anisotropic samples. DB2SIM reproduces the histogram and semivariogram model in both the isotropic and anisotropic cases but, because of the conditioning method employed, is not as computationally efficient as we would wish. Because of the limitations of HSIM and Db2SIM two …

The Relationship Between Estimation Skill And Computational Ability Of Students In Years 5, 7 And 9 For Whole And Rational Numbers, Phuntsho Dolma

Theses: Doctorates and Masters

This study explored the relationship between estimation skill and computational ability for whole and rational numbers. The methods carried out were both quantitative as well as qualitative and data were collected from three primary schools along with their associated high school in the Perth area. The year levels chosen were 5, 7 and 9. There were two classes from each chosen primary school representing Year 5 and Year 7 and three classes of Year 9 from the high school. The total number of students involved was 91, 77 and 73 from the three respective year levels. Instruments used for collecting …

The Computation Choices Made By Students In Years 5 To 7, Paul Swan

Theses: Doctorates and Masters

This study was designed to explore the computation choices made by 78 students in Years 5 to 7. The ability to choose and use a repertoire of computation methods is an important goal of mathematics education. While one might expect to find a great deal of research outlining the computation choices students make and why they make them, this was not the case; and as such it was decided to explore what computation choices students make and why they make them.

Depth-First Search Embedded Wavelet Algorithm For Hardware Implementation, Li-Minn Ang

Theses: Doctorates and Masters

The emerging technology of image communication over wireless transmission channels requires several new challenges to be simultaneously met at the algorithm and architecture levels. At the algorithm level, desirable features include high coding performance, bit stream scalability, robustness to transmission errors and suitability for content-based coding schemes. At the architecture level, we require efficient architectures for construction of portable devices with small size and low power consumption. An important question is to ask if a single coding algorithm can be designed to meet the diverse requirements. Recently, researchers working on improving different features have converged on a set of coding …

Vlsi Implementation Of A Massively Parallel Wavelet Based Zerotree Coder For The Intelligent Pixel Array, Geoffrey N. Alagoda

Theses: Doctorates and Masters

In the span of a few years, mobile multimedia communication has rapidly become a significant area of research and development constantly challenging boundaries on a variety of technologic fronts. Mobile video communications in particular encompasses a number of technical hurdles that generally steer technological advancements towards devices that are low in complexity, low in power usage yet perform the given task efficiently. Devices of this nature have been made available through the use of massively parallel processing arrays such as the Intelligent Pixel Processing Array. The Intelligent Pixel Processing array is a novel concept that integrates a parallel image capture …

Phantom Classmates : A Case Study Of Talented Mathematics Students Learning Via Telematics, Leanne S. Clarke

Theses: Doctorates and Masters

The main advantages and disadvantages of the Telematics environment for talented mathematics students were investigated through a case study. The case study considered the interaction of, and opinions of 11 Year 9 students and the teacher/researcher. Participants were from nine schools in regional Western Australia, and were withdrawn from face-to-face classes to attend mathematics transmissions. Qualitative data were collected through student interviews, an anonymous questionnaire, tape recording of lessons, and teacher field notes. Students all agreed the main disadvantage occurred if timetabling for Telematics transmissions did not align with their local school class times for the same subject. The teacher …

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 …

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 …

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 …

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 …

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

Calibration Of A Conceptual Rainfall-Runoff Model Using Simulated Annealing, Neil R. Sumner

Theses: Doctorates and Masters

Simulated annealing (Kirkpatrick et al, 1983) is used to estimate the parameters of a mathematical model that predicts the water yield from a catchment. The calibration problem involves finding the global minimum of a multivariate function that has many extraneous local minima, a situation in which conventional optimisation methods are ineffective. The objective function which quantifies discrepancies between the computed and observed streamflows must be carefully selected to satisfy the least square assumptions. Several published simulated annealing algorithms have been implemented, tested and evaluated using standard test functions. Appropriate cooling schedules are found for each algorithm and test function investigated. …

Digital Morphometry : A Taxonomy Of Morphological Filters And Feature Parameters With Application To Alzheimer's Disease Research, Andrew Mehnert

Theses: Doctorates and Masters

In this thesis the expression digital morphometry collectively describes all those procedures used to obtain quantitative measurements of objects within a two-dimensional digital image. Quantitative measurement is a two-step process: the application of geometrical transformations to extract the features of interest, and then the actual measurement of these features. With regard to the first step the morphological filters of mathematical morphology provide a wealth of suitable geometric transfomations. Traditional radiometric and spatial enhancement techniques provide an additional source of transformations. The second step is more classical (e.g. Underwood, 1970; Bookstein, 1978; and Weibull, 1980); yet here again mathematical morphology is …

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 …