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Hubbard, Jane; Russo, James; Livy, Sharyn – Mathematics Education Research Group of Australasia, 2022
Making accurate judgements and interpretations about student growth and progress in mathematics can be problematic when using open-ended assessments. This study reports on the development of a class-based assessment instrument and marking key designed to assess Year 2 students' mathematics competence to reflect their learning of mathematics…
Descriptors: Mathematics Skills, Mathematics Instruction, Grading, Mathematics Tests
Sun, Jiqing – Mathematics Education Research Group of Australasia, 2022
The transition between arithmetic and algebraic thinking is challenging for students. One notable difficulty for students is understanding algebraic symbols--pronumerals. Researchers are exploring pedagogical approaches in seeking to address this issue. The current paper is contributing to this body of literature by illustrating how an online card…
Descriptors: Algebra, Game Based Learning, Electronic Learning, Classroom Environment
Adeniji, Saidat Morenike; Baker, Penelope – Mathematics Education Research Group of Australasia, 2022
This article explores the effectiveness of the pedagogical practices associated with the cognitive load theory and the van Hiele theory, which are two theories from cognitivism and constructivism perspectives, respectively. Following a quasi-experiment, the quantitative analysis of 157 high school students' responses to pre, post, and retention…
Descriptors: Instructional Effectiveness, Cognitive Processes, Difficulty Level, Theories
Chin, Sze Looi; Choy, Ban Heng; Leong, Yew Hoong – Mathematics Education Research Group of Australasia, 2022
In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…
Descriptors: Teaching Methods, Secondary School Mathematics, Mathematics Instruction, Mathematics Teachers
Booysen, Tammy; Westaway, Lise – Mathematics Education Research Group of Australasia, 2022
Early years mathematics textbooks are support material for teachers and learners as they contain visual representations which communicate and clarify mathematical concepts. In this paper, we report on the types and functions of visual representations of multiplication and division in South African early years mathematics textbooks. There seems to…
Descriptors: Visual Aids, Multiplication, Division, Mathematical Concepts
Getenet, Seyum – Mathematics Education Research Group of Australasia, 2022
This case study aims to describe the learning characteristics of a child and evaluate his preferences for using physical manipulatives (PM) and virtual manipulatives (VM) to solve fraction problems. The participant in this study was a fourth-grade child. The child was given similar problems to solve using PM and VM. Data sources were observations…
Descriptors: Mathematics Instruction, Student Attitudes, Student Characteristics, Preferences
Choy, Ban Heng; Dindyal, Jaguthsing; Yeo, Joseph B. W. – Mathematics Education Research Group of Australasia, 2022
Mathematics education research has focused on developing teachers' knowledge or other visible aspects of the teaching practice. This paper contributes to conversations around making a teacher's thinking visible and enhancing a teacher's pedagogical reasoning by exploring the use of pedagogical documentation. In this paper, we describe how a…
Descriptors: Mathematics Education, Logical Thinking, Teacher Behavior, Division
Lu, Hong; Chen, Xin – Mathematics Education Research Group of Australasia, 2022
Previous studies have uncovered the relationship between handwriting and mathematics performance, without articulating the underlying cognitive mechanism. With 197 Chinese fourth graders as participants, this study explored the mechanism by which the spacing/spatial relationship in handwriting legibility affects number-line estimation through VMI.…
Descriptors: Psychomotor Skills, Mathematics Instruction, Handwriting, Correlation
Fowler, Samuel; Cutting, Chelsea; Devis, Deborah; Leonard, Simon – Mathematics Education Research Group of Australasia, 2022
Design based research (DBR) has become a popular methodology for exploring various aspects of mathematics education due to its focus on theoretical development and practical implementation. Drawing on a recent meta-study into trends in mathematically focused DBR studies, this paper explores how this method is being used in comparison to its…
Descriptors: Educational Research, Research Design, Mathematics Education, Research Methodology
Calder, Nigel – Mathematics Education Research Group of Australasia, 2022
This paper reports on teachers' perceptions of students learning as part of a project examining teacher practice and student learning when using "ScratchMaths" in their classroom programmes. The project used design-based methodology, incorporating video-recorded classroom excerpts; teacher interviews; and teacher analysis and review of…
Descriptors: Elementary School Students, Mathematics Instruction, Coding, Cognitive Processes
Frazerhurst, Lauren; Leach, Generosa – Mathematics Education Research Group of Australasia, 2022
In this paper, we report on the pedagogical actions of one teacher in eliciting and developing students' mathematical reasoning during one mathematics lesson. The findings illustrate that through the careful design and planning of a contextually relevant task (the construction of a manu tukutuku), and the implementation of specific teacher…
Descriptors: Mathematics Teachers, Teaching Methods, Mathematical Logic, Mathematics Skills
Manoharan, Manju; Kaur, Berinderjeet – Mathematics Education Research Group of Australasia, 2022
Diagrams are succinct, visual representations of real-world or mathematical objects that serve to communicate properties of the objects and facilitate problem solving. This study explored perceptions of mathematics teachers in Singapore, who are heads of mathematics departments in their respective schools, related to diagrams and their use in the…
Descriptors: Visual Aids, Mathematics Instruction, Mathematics Teachers, Teacher Attitudes
Hay, Ian; Stevenson, Yvonne; Winn, Stephen – Mathematics Education Research Group of Australasia, 2022
Mathematics self-efficacy is considered an important variable in mathematics education because of its links to mathematics achievement. This paper reports on the development of the "Self-efficacy-effort in Mathematics Scale" (SEEMS), an instrument that has strong theoretical and psychometric properties. Based on a sample of n = 224…
Descriptors: Mathematics Instruction, Self Efficacy, Test Construction, Mathematics Achievement
Hatisaru, Vesife; Chick, Helen; Oates, Greg – Mathematics Education Research Group of Australasia, 2022
This study reports on a professional learning (PL) initiative aimed at establishing a community of practice, through teacher working groups in which teachers can explore and develop their algebraic pedagogical content knowledge (PCK). Here we report on teachers' solutions to three differently represented algebraic problems and explore what the…
Descriptors: Algebra, Mathematics Instruction, Faculty Development, Teacher Collaboration
Gaunt, Lorraine – Mathematics Education Research Group of Australasia, 2022
Design Research (DR) has been used to develop means of supporting mathematical learning for typically-developing students. This study investigated the use of DR to develop context specific tools to support adults with intellectual disabilities (ID) to improve their numeracy capabilities and engagement in daily tasks. Using observation and…
Descriptors: Teaching Methods, Numeracy, Adult Education, Intellectual Disability
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