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Science and Mathematics Education Commons™

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Edith Cowan University

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Articles 1 - 30 of 193

Full-Text Articles in Science and Mathematics Education

What Makes An Analogy Effective For Students’ Learning Of Mathematics? Conceptualising Analogy Effectiveness For Teaching Mathematics, Vesife Hatisaru, Steven Richardson Sep 2026

What Makes An Analogy Effective For Students’ Learning Of Mathematics? Conceptualising Analogy Effectiveness For Teaching Mathematics, Vesife Hatisaru, Steven Richardson

Research outputs 2022 to 2026

Analogies are commonly used in mathematics teaching as a means to promote understanding of new potentially abstract concepts, by linking them to well-understood contexts. Despite strong intuition that analogies are helpful in supporting students’ learning of mathematics, there is a lack of agreement on how to objectively judge the utility or conceptual affordances of these analogies. In this paper, we aim to conceptualise how to assess the effectiveness of an analogy by employing Gentner’s structure-mapping theory to analogies and explore two teacher-made analogies (the ‘child-mother’ and the ‘machine’) for learning the formal definition of a function as illustrative examples. By …

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From Plans To Practice: Preservice Mathematics Teachers' Journey To Conceptual Understanding, Rolando B. Magat Jr Jan 2026

From Plans To Practice: Preservice Mathematics Teachers' Journey To Conceptual Understanding, Rolando B. Magat Jr

Australian Journal of Teacher Education

This study examines the journey of preservice mathematics teachers (PMTs) in the Philippines from lesson planning to classroom practice, focusing on fostering conceptual understanding. Using a case study approach, data were gathered from 15 PMTs in Metro Manila through semi-structured interviews, classroom observations, and lesson plan analysis. Findings reveal that PMTs face challenges in deep content knowledge, effective instructional strategies, and real-world application, often prioritizing procedural knowledge over conceptual depth. Additionally, engagement strategies and resource integration were key themes influencing lesson planning. To address these gaps, the study proposes Project M.A.S.T.E.R (Mathematics Application and Strategy Training for Enhanced Readiness), a …

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Investigating The Changes In Attitudes Towards Science Among Pre-Service Elementary Teachers Enrolled In A Science Methods Course Using A New Version Of The Test Of Science Related Attitudes, Christopher S. Long, Becky Sinclair Jan 2026

Investigating The Changes In Attitudes Towards Science Among Pre-Service Elementary Teachers Enrolled In A Science Methods Course Using A New Version Of The Test Of Science Related Attitudes, Christopher S. Long, Becky Sinclair

Australian Journal of Teacher Education

This article examines the changes in student attitudes towards science among pre-service elementary teachers (PSETs), who were enrolled in a science methods course at a large public university in Texas, USA. A new version of the Test of Science Related Attitudes (TOSRA) called TOSRA-3 was used to measure six dimensions of attitudes towards science. TOSRA-3 was created in an effort to create a more economical, 35 items versus 70 items, version of the original TOSRA. TOSRA-3 was found to be valid and reliable for use with PSETs. Factor analysis suggests a six scale structure with a Cronbach’s Alpha for each …

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An Examination Of The Cognitive Levels And Content Dimensions In Activities Developed By Pre-Service Mathematics Teachers Within The Math Taxonomy Framework, Ayşe Tuğçe Bodur, Mevhibe Kobak Demi̇r Jan 2026

An Examination Of The Cognitive Levels And Content Dimensions In Activities Developed By Pre-Service Mathematics Teachers Within The Math Taxonomy Framework, Ayşe Tuğçe Bodur, Mevhibe Kobak Demi̇r

Australian Journal of Teacher Education

The purpose of this study is to analyze the questions included in three-dimensional modeling activities developed by pre-service mathematics teachers in terms of the cognitive levels and mathematical content dimensions of the MATH taxonomy. This analysis aims to reveal which mathematical processes and skills the pre-service teachers prioritize in their instructional materials. Adopting a case study design, one of the qualitative research methods, this research examined activities developed by 26 secondary pre-service mathematics teachers, selected through convenience sampling, for teaching three-dimensional geometric shapes. Descriptive analysis was used to evaluate a total of 122 activity questions. Regarding content dimensions, it …

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The Effect Of Stem Learning Experiences On Stem Semantic Awareness And 21st-Century Learner Skills Of Prospective Primary School Teachers, Ahmet Oğuz Akçay, Mehmet Arif Bozan, Engin Karahan Jan 2026

The Effect Of Stem Learning Experiences On Stem Semantic Awareness And 21st-Century Learner Skills Of Prospective Primary School Teachers, Ahmet Oğuz Akçay, Mehmet Arif Bozan, Engin Karahan

Australian Journal of Teacher Education

STEM awareness and 21st-century skills are recognized as two interrelated dimensions critical for the modern pedagogical competencies of pre-service teachers. This study examines how STEM learning experiences affect pre-service primary school teachers’ STEM semantic awareness and 21st-century learner skills. STEM activities were implemented for six weeks with pre-service primary school teachers. The research was designed using a convergent mixed-methods approach. The study included 21 prospective primary school teachers who volunteered to participate. The “STEM Semantic Awareness Scale,” “21st-Century Learner Skills Use Scale,” participant journals, and semi-structured interviews were used as data collection tools. The …

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Misconceptions Among Grade Ix Students Regarding The Conservation Of Mass During Combustion At Norbugang Central School In Bhutan, Damcho Gyeltshen Jan 2026

Misconceptions Among Grade Ix Students Regarding The Conservation Of Mass During Combustion At Norbugang Central School In Bhutan, Damcho Gyeltshen

Australian Journal of Teacher Education

This study investigated misconceptions about the conservation of mass among Grade IX students at Norbugang Central School, Bhutan, and examined the effectiveness of two theory-driven instructional strategies: the Conceptual Change Model (CCM) and the Predict, Explain, Observe, Explain (PEOE) approach. A quasi-experimental pre-test post-test control group design was employed with 100 students. A ten-item double-tier diagnostic test elicited students’ responses and reasoning, complemented by semi-structured interviews. Quantitative data were analysed using frequencies, paired-sample t-tests, and Cohen’s d, while qualitative data were analysed thematically. Findings indicated that the experimental group achieved a significant reduction in misconceptions, particularly for observable open-system combustion, …

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Collaborative Problem-Solving (Cps) In Supporting Critical Thinking Skills: A Case Study On Quadratic Function Material, Buaddin Hasan, Arif Hidayatul Khusna Jan 2026

Collaborative Problem-Solving (Cps) In Supporting Critical Thinking Skills: A Case Study On Quadratic Function Material, Buaddin Hasan, Arif Hidayatul Khusna

Australian Journal of Teacher Education

Theoretically, CPS can support students' critical thinking skills. However, more in-depth research is needed on how CPS can support students' critical thinking skills. This research aims to describe CPS in supporting students' critical thinking skills. Participants in this research were 24 10th-grade students consisting of 14 female students and ten male students. The 24 participants were then formed into 12 groups, with one group of two students. Data was collected by asking groups to solve a quadratic function problem. The research results show that CPS can support students' critical thinking skills because it provides opportunities for students to negotiate with …

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The Strategic Competence Of Secondary Mathematics Teachers Solving Algebraic Word Problems, Vesife Hatisaru, Steven Richardson, Helen Chick, John Sevier Jan 2026

The Strategic Competence Of Secondary Mathematics Teachers Solving Algebraic Word Problems, Vesife Hatisaru, Steven Richardson, Helen Chick, John Sevier

Research outputs 2022 to 2026

We examined the strategic competence of 22 secondary mathematics teachers by considering their solutions to an algebraic word problem involving simultaneous equations. The analyses have shown that although the majority could solve the problem, the strategic competence of the participants varied, with some teachers having greater fluency with an algebraic solution, and the others less likely to address simultaneity. Overall, many of the teachers had relatively limited capacity to identify additional solution approaches. The study highlights the usefulness of a strategic competence scheme with key indicators that may reveal areas for further teacher development, with the specific findings suggesting the …

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Professional Development To Inspire, Support, And Extend Stem-Related Learning, Somayeh Ba Akhlagh, Asma Hulayyil Aljohani, Maryam Jamal Alharthi, Nahla Mahmoud Gahwaji, Nouf Mohammed Albadi, Marianne Knaus Jan 2026

Professional Development To Inspire, Support, And Extend Stem-Related Learning, Somayeh Ba Akhlagh, Asma Hulayyil Aljohani, Maryam Jamal Alharthi, Nahla Mahmoud Gahwaji, Nouf Mohammed Albadi, Marianne Knaus

Research outputs 2022 to 2026

The success of STEM education in early childhood education is reliant on the pedagogical practices of teachers. Effective teaching of STEM requires specific knowledge of the four disciplines of STEM, appropriate teaching and learning methods and relevant experiences. In Saudi Arabia the teaching of STEM is a relatively new field, and this paper outlines a research project to promote the teaching and learning of STEM through professional development workshops. The research is informed by Vygotsky’s cultural-historical/socio-cultural theory, acknowledging the crucial role of social interaction and cultural context in a collaborative learning environment. To evaluate the project, a mixed methods approach …

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Praxis: The Missing Theory To Practice Link In Maximising Early Childhood Science Opportunities, Pauline Roberts, Patricia R. Collins Jan 2026

Praxis: The Missing Theory To Practice Link In Maximising Early Childhood Science Opportunities, Pauline Roberts, Patricia R. Collins

Research outputs 2022 to 2026

Science teaching in early years contexts has been identified as deficient due to poor educator confidence, lack of content knowledge, or minimal opportunities being made available for science experiences. To identify strategies to counteract these factors, this study explored how these deficiencies are enacted in learning contexts by examining the beliefs and practices of educators across three early learning sites. The focus of this study was threefold: to gather the perception of educators in relation to early childhood science; explore the learning environments; and observe the interactions facilitated by the educators to develop scientific knowledge and skills for young children. …

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New Insights Into The Beliefs Of Secondary Pre-Service Teachers About Mathematics, Vesife Hatisaru, Olivia Johnston, Julia Collins, Benjamin Rott Aug 2025

New Insights Into The Beliefs Of Secondary Pre-Service Teachers About Mathematics, Vesife Hatisaru, Olivia Johnston, Julia Collins, Benjamin Rott

Research outputs 2022 to 2026

Teachers’ beliefs about mathematics can shape how they approach teaching, learning, and assessment in mathematics classrooms. This study examined Australian pre-service teachers’ (PSTs’) epistemological beliefs about mathematics. A total of 18 PSTs enrolled in Bachelor of Education and Master of Teaching (secondary mathematics) programs participated in the study by answering prompt questions in an open-ended questionnaire. The participants’ responses were content analyzed by categorizing the views evident in the responses into four pre-defined mathematical orientations: formalism-related, scheme-related, process-related, and application-related. Findings have shown that the dominant beliefs for the participants reflected process- or application- related orientations to mathematics. These findings …

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The Impact Of Interdisciplinary Approach And Mathematical Modelling Activities On Mathematics Teaching: A Case Study With Pre-Service Teachers, Eda N. Güner, Ahmet Ş. Özdemir Jan 2025

The Impact Of Interdisciplinary Approach And Mathematical Modelling Activities On Mathematics Teaching: A Case Study With Pre-Service Teachers, Eda N. Güner, Ahmet Ş. Özdemir

Australian Journal of Teacher Education

Mathematical modelling is an effective approach that helps students develop a deep understanding of mathematical concepts by connecting mathematics to real-life contexts and to other disciplines. Model Eliciting Activities (MEAs) are student-centred processes in which learners use modelling methods to solve complex real-world problems. This case study aimed to design interdisciplinary MEAs for pre-service teachers, to evaluate these activities according to modelling principles, and to examine participants’ views after the implementation. The data consisted of the developed MEAs, video transcripts from the implementation process, and audio transcripts of semi-structured interviews. Content analysis, descriptive analysis, and rubric-based evaluation were used. The …

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Mathematical Practices (Commonly Used By Mathematicians) In Mathematics Teachers’ Solutions To Algebraic Problems, Vesife Hatisaru, Steven Richardson, Jon R. Star Jan 2025

Mathematical Practices (Commonly Used By Mathematicians) In Mathematics Teachers’ Solutions To Algebraic Problems, Vesife Hatisaru, Steven Richardson, Jon R. Star

Research outputs 2022 to 2026

A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs) (commonly used by mathematicians), this case study aimed to contribute to fill this gap. The study examined solutions generated by two secondary teachers of mathematics to a set of algebraic problems to determine which MPs are apparent, or not, in the teachers’ work. Data were content analyzed …

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Using Children's Picture Books To Teach Mathematical And Numeracy Concepts: An Exploration Of The Aesthetic Value Of Mathematics For Preservice Teachers’ Dispositions, Mellie Green, Lorraine Gaunt, Georgina M. Barton Jan 2025

Using Children's Picture Books To Teach Mathematical And Numeracy Concepts: An Exploration Of The Aesthetic Value Of Mathematics For Preservice Teachers’ Dispositions, Mellie Green, Lorraine Gaunt, Georgina M. Barton

Australian Journal of Teacher Education

Evidence suggests that preservice teachers tend to have negative dispositions towards the teaching of mathematics and/or numeracy. In response, this paper describes the work of three experienced teacher educators using high-quality children’s picture books to teach mathematical and/or numeracy concepts as well as foregrounding the aesthetic value of mathematics. The purpose of this type of reading is to support and improve preservice teacher dispositions towards mathematics and/or numeracy with children’s picture books. Using metalogue as methodology, the researchers discussed mathematical and/or numeracy concepts and explored the aesthetic value of mathematics within selected picture books. They used the Australian Curriculum’s General …

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Explosions Are Always Entertaining But…: Investigating The Impacts Of Science Shows On High School Students, Shanii Phillips, Miriam Sullivan, Ann Grand Jan 2025

Explosions Are Always Entertaining But…: Investigating The Impacts Of Science Shows On High School Students, Shanii Phillips, Miriam Sullivan, Ann Grand

Research outputs 2022 to 2026

Science shows are often posited as a route to encourage young people to engage with science. Using a mixed methods approach, our research investigated the impact of attending a science show on high school students’ intentions to study science or pursue a career in science. We found that while a single visit to a science show has little impact on students’ aspirations, it can reinforce students’ confidence in their ability to succeed in science. In terms of design and performance, the best-received shows included ‘real-world’ content that students could identify as relevant to their lives.

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Mathematical Connections In Preservice Secondary Mathematics Teachers’ Solution Strategies To Algebra Problems, Vesife Hatisaru, Kaye Stacey, Jon R. Star Jan 2024

Mathematical Connections In Preservice Secondary Mathematics Teachers’ Solution Strategies To Algebra Problems, Vesife Hatisaru, Kaye Stacey, Jon R. Star

Research outputs 2022 to 2026

This study investigated the mathematical connections found in the solutions provided by 22 preservice secondary mathematics teachers to a set of algebra problems. Interest in, and research on, mathematical connections has gained prominence of the past decade. Here, we use the Extended Theory of Mathematical Connections or ETMC to explore the types of connections that this framework does and does not capture in the preservice teachers’ solutions. The ETMC surfaced four types of mathematical connections across four problems: ‘different representations’, ‘procedural’, ‘part-whole’ and ‘meaning’. The other types of connections defined in ETMC such as ‘reversibility’ or ‘feature’ were not found …

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Secondary Mathematics Teachers’ Mathematical Competence, Vesife Hatisaru, Julia Collins, Steven Richardson, Constantine Lozanovski Jan 2024

Secondary Mathematics Teachers’ Mathematical Competence, Vesife Hatisaru, Julia Collins, Steven Richardson, Constantine Lozanovski

Research outputs 2022 to 2026

Whilst educational goals in recent years for mathematics education are foregrounded the development of mathematical competencies, little is known about mathematics teachers’ competencies. In this study, a group of practising teachers were asked to solve an algebra problem, and their solutions were analysed to determine the competencies apparent (or, equally importantly, absent) in these solutions. The most demonstrated competencies were devising strategies and mathematising, whilst communication and reasoning were mostly missed. The research provides a detailed methodology on how mathematical competencies can be assessed in the context of problem solving.

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Influences On Student Decisions To Enrol In Higher-Level Mathematics Courses, Gregory Hine, Chris Forlin, Paola Chivers Jan 2024

Influences On Student Decisions To Enrol In Higher-Level Mathematics Courses, Gregory Hine, Chris Forlin, Paola Chivers

Research outputs 2022 to 2026

Addressing the participation rates in senior secondary mathematics courses in Australian schools remains a critically important issue. In this paper, the authors report on quantitative findings from a study in which all year 11 and year 12 (aged 17–18 years) Australian Tertiary Admissions Ranking (ATAR) students in Western Australia were invited to participate. The aim was to explore the perceptions of these students regarding their enrolment in higher-level mathematics courses. Data from 1633 students were collected using a survey instrument comprised of 12, 5-point, Likert-scale items. Data were analysed by applying two statistical procedures: calculating frequencies of the 12 items …

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Teacher Expectations Of Student Strategies For Algebra Problems, Vesife Hatisaru, Olivia Johnston, Julia Collins, Wendy Harmon Jan 2024

Teacher Expectations Of Student Strategies For Algebra Problems, Vesife Hatisaru, Olivia Johnston, Julia Collins, Wendy Harmon

Research outputs 2022 to 2026

This paper investigates the expectations that a group of preservice secondary mathematics teachers had for how students would approach four particular algebra problems. Their responses to a set of open-ended items were content analysed. Findings show that the teachers ranged in the expectations that they held for their students. Some teachers expected their students would approach the problems with more sophisticated problem-solving strategies, but many of the teachers expected that the students would only use less desirable “guess-and-check” strategies. We believe teachers’ expectations for student strategies for problem-solving is a topic that warrants further investigation.

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Factors Predicting Mathematics Achievement In Pisa: A Systematic Review, Xiaofang S. Wang, Laura B. Perry, Anabela Malpique, Tobias Ide Dec 2023

Factors Predicting Mathematics Achievement In Pisa: A Systematic Review, Xiaofang S. Wang, Laura B. Perry, Anabela Malpique, Tobias Ide

Research outputs 2022 to 2026

The Programme for International Student Assessment (PISA) has become the world’s largest comparative assessment of academic achievement. While hundreds of studies have examined the factors predicting student achievement in PISA, a comprehensive overview of the main predictors has yet to be completed. To address this gap, we conducted a systematic literature review of factors predicting mathematics performance in PISA. Guided by Bronfenbrenner’s ecological model of human development, we synthesized the findings of 156 peer reviewed articles. The analysis identified 135 factors that fall into five broad categories: individual student, household context, school community, education systems and macro society. The analysis …

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Nature Of Science: Examining Science Teachers’ Knowledge And Their Instructional Practices, Sharon Bramwell-Lalor Jan 2023

Nature Of Science: Examining Science Teachers’ Knowledge And Their Instructional Practices, Sharon Bramwell-Lalor

Australian Journal of Teacher Education

This case study focused on a university teacher-education course that included NOS content. An adapted questionnaire was used to collect quantitative data on 83 secondary science teachers’ views about three NOS themes before and after completing the course. Qualitative data were collected from eight of the teachers who were observed teaching during their field experience after completing the course. The teachers’ post-course mean NOS scores were statistically significantly higher than their pre-course scores (t (65) =-10.08, p<.001; Cohen’s d = 1.4). Despite the favourable NOS knowledge among the science teachers, low levels of NOS portrayal were observed in their instructional practices. These findings point to some success in explicitly addressing NOS in science education content courses. However, they raise questions about the transferability of teachers’ NOS knowledge into their classrooms. The findings have implications for teacher-preparation programmes regarding durability of NOS knowledge.


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Relations Between Australian Primary Teachers’ Reported Professional Development Engagement And Their Science Teaching Practices And Efficacy Beliefs, James Deehan, Amy Macdonald Jan 2023

Relations Between Australian Primary Teachers’ Reported Professional Development Engagement And Their Science Teaching Practices And Efficacy Beliefs, James Deehan, Amy Macdonald

Australian Journal of Teacher Education

: Professional development has long been viewed as crucial to sustained improvement in the quality of primary science education. This paper considers professional development beyond the context of a specific program by examining how the science teaching efficacy beliefs and practices vary between teachers who both have and have not engaged with science professional development. This paper reports on a primarily quantitative study wherein a sample of 206 Australian public primary educators responded to an online survey capturing demographic, science teaching efficacy and science teaching practice data. Quantitative data were analysed via descriptive, ANOVA and Chi Square analyses. The supplementary …

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Flipping The Thinking On Equality, Diversity, And Inclusion. Why Edi Is Essential For The Development And Progression Of The Chemical Sciences: A Case Study Approach, M. Anwar H. Khan, Timothy G. Harrison, Magdalena Wajrak, Michele Grimshaw, Kathy G. Schofield, Alison J. Trew, Kulvinder Johal, Jeannette Morgan, Karen L. Shallcross, Joyce D. Sewry, Michael T. Davies-Coleman, Dudley E. Shallcross Jan 2023

Flipping The Thinking On Equality, Diversity, And Inclusion. Why Edi Is Essential For The Development And Progression Of The Chemical Sciences: A Case Study Approach, M. Anwar H. Khan, Timothy G. Harrison, Magdalena Wajrak, Michele Grimshaw, Kathy G. Schofield, Alison J. Trew, Kulvinder Johal, Jeannette Morgan, Karen L. Shallcross, Joyce D. Sewry, Michael T. Davies-Coleman, Dudley E. Shallcross

Research outputs 2022 to 2026

All learners have a contribution to make to the development of the Chemical Sciences, be that in novel ways to teach, and their perspectives and contexts, but also in research, both in chemical education and the wider Chemical Sciences. Through four case studies, this paper explores interactions with diverse groups and how this has altered perspectives on both teaching and research. The case studies include work with visually impaired adults, a project bringing together First Peoples in Australia with academics to explore old ways (traditional science) and new ways (modern approaches), primary (elementary) school perspectives on teaching science, and a …

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What Do Mathematics Lessons Look Like? Analyses Of Primary Students’ Drawings, Benjamin Rott, Laura Barton, Vesife Hatisaru Jan 2023

What Do Mathematics Lessons Look Like? Analyses Of Primary Students’ Drawings, Benjamin Rott, Laura Barton, Vesife Hatisaru

Research outputs 2022 to 2026

The use of student drawings to assess their experiences and beliefs about teaching and learning of mathematics has become almost a regular research method – especially when working with young students who may not express themselves well, for example, in self-report questionnaires. These methods, nevertheless, need to be improved regarding their objectivity and validity. By building on the existing research, in this study, we focus on objectivity and validity issues in drawing-based methods. We use a drawing-based instrument: Draw A Mathematics Classroom (DAMC) and present 104 fourth-grade students to draw a picture of their regular mathematics lessons. We especially aim …

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Using Formative Assessment To Build Coherence Between Educational Policy And Classroom Practice: A Case Study Using Inquiry In Science, Connie Cirkony, John Daniel Kenny Jan 2022

Using Formative Assessment To Build Coherence Between Educational Policy And Classroom Practice: A Case Study Using Inquiry In Science, Connie Cirkony, John Daniel Kenny

Australian Journal of Teacher Education

In this paper we argue that the complexity of education systems can lead to a lack of coherence in the implementation of policy. More effective educational change requires policy-makers and researchers to pay more attention to supporting teachers in classrooms. As an example, we consider decades of research attempts in STEM education to implement learning through inquiry and note there has been little change in teaching practices in classrooms. Using formative assessment in science education as a case study, we developed a rubric for teachers that embeds key aspects of the desired pedagogy. We argue this builds teachers’ confidence to …

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Pre-Service Teachers’ Beliefs About Motivating Students To Learn Science, Davis Jean-Baptiste, Damian Maher Jan 2022

Pre-Service Teachers’ Beliefs About Motivating Students To Learn Science, Davis Jean-Baptiste, Damian Maher

Australian Journal of Teacher Education

Motivation in science learning is important, given increasing necessity for scientific and critical literacy. The purpose of this article is to examine secondary science pre-service teachers’ (PSTs) beliefs about motivating students to learn science. A mixed method study was conducted with 73 secondary science PSTs across Australia. A web-based survey and interviews were used to gather data. Turner et al.’s motivation theory (2011) is used as a framework to analyse the data. The findings indicate that the PSTs believed that competence, belongingness, and meaningful learning were factors involved in motivating students. These findings are critical as they are relevant to …

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How To Develop A Structural Conception Of Algebra In School Students, Vesife Hatisaru Jan 2022

How To Develop A Structural Conception Of Algebra In School Students, Vesife Hatisaru

Research outputs 2022 to 2026

Algebra plays a pivotal role in school students’ mathematics learning. Students, however, have serious difficulties especially with ‘seeing’ the algebraic structures and expressing generality with algebraic symbols. These skills are not gained accidently; developing them in students takes continuous, sustained, and focused effort from both students themselves and teachers. As teachers of mathematics, what kind of classroom experience could we provide our students to prepare them for using algebra successfully? How could we assist them to develop structural conceptions of algebra? In this paper, I describe an approach based on the Mathematical Habits of Mind framework (Cuoco et al., 1996) …

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Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru Jan 2022

Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru

Research outputs 2022 to 2026

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as the analytical framework. The context for the study is classroom observations of two secondary mathematics teachers teaching functions to Grade 9 students. The strength of teachers’ mathematical knowledge for teaching (MKT) the concept of function is different: one has stronger MKT, while the other has weaker MKT. A total of 485 connections are identified in a sample …

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Fifth Graders’ Use Of Gesture And Models When Translanguaging During A Content And Language Integrated Science Class In Hong Kong, Melanie Williams Jan 2022

Fifth Graders’ Use Of Gesture And Models When Translanguaging During A Content And Language Integrated Science Class In Hong Kong, Melanie Williams

Research outputs 2014 to 2021

Translanguaging in science includes the use of semiotic repertoires complete with non-linguistic modes of meaning (e.g. gesture, tactile) that until recently have gone unnoticed in research into content language integrated learning (CLIL). Currently, there are calls for classroom research in CLIL settings that examines the semiotic processes in the spontaneous translanguaging of emergent bilinguals. In response, this study aims to expand bilingualism research by investigating the ways in which fifth-grade emergent bilinguals’ draw from their semiotic repertoires when translanguaging in content-based science lessons. Multimodal transcriptions made from video recordings of the lessons allow a cross-case analysis of the emergent bilinguals’ …

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Teaching Classroom Mathematics: Linking Two Pedagogical Models For Promoting Student Engagement And Conceptual Connections, Christine A. Ormond Jan 2021

Teaching Classroom Mathematics: Linking Two Pedagogical Models For Promoting Student Engagement And Conceptual Connections, Christine A. Ormond

Australian Journal of Teacher Education

This paper explains how an original conceptual framework model for mathematics pedagogy, the Australian Curriculum Conceptual Rubric (ACCR), has continued to be used successfully by the author in pre-service and in-service teacher education programs over the past ten years or more. Now further enhanced by a deeper reflection upon Peter Sullivan’s Six Principles (2011) for the effective teaching of classroom mathematics, the ACCR is based on four preparatory “big questions” that the teachers may ask of themselves and their students. The model is also a sequenced system of conceptual “rubrics” whose aim is to encourage, in new teachers especially, …

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