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Rogers, Angela – Mathematics Education Research Group of Australasia, 2023
Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…
Descriptors: Number Concepts, Teaching Methods, Problem Solving, Computation
Lehmann, Timothy H. – International Journal of Science and Mathematics Education, 2022
Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…
Descriptors: Mathematics, Computation, Network Analysis, Secondary School Mathematics
Ginns, Paul; Muscat, Katherine; Naylor, Ryan – Educational and Developmental Psychologist, 2023
Objective: When students learn or solve problems, attentional resources are depleted; rest breaks may restore cognitive functioning in support of learning. Research framed by attention restoration theory holds that exposure to natural environments may be another means to restore attentional resources. The study investigated the effects of…
Descriptors: Intervals, Attention, Learning Processes, Problem Solving
Hopkins, Sarah; Russo, James; Siegler, Robert – Mathematical Thinking and Learning: An International Journal, 2022
There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…
Descriptors: Addition, Grade 3, Grade 4, Elementary School Students
Vicki Steinle; Kaye Stacey; Beth Price – Mathematics Education Research Group of Australasia, 2024
This paper provides evidence that a short, fully online, well-constructed diagnostic test based on research literature can give teachers information about their students' thinking and strategies that is sufficiently accurate to use for formative assessment purposes. The example is a test for students beginning to learn to solve equations. The main…
Descriptors: Foreign Countries, Secondary School Mathematics, Secondary School Students, Secondary School Teachers
McAlister, Kerrie; Marshman, Margaret – Australian Mathematics Education Journal, 2019
Estimation skills are critical for students in the 21st century. The ability to estimate or approximate is widely accepted as fundamental to problem solving, and important for checking the reasonableness of results. (Dowker, 2003; Reys & Reys, 1989). Therefore, estimation should be an important aspect of problem solving in all year levels but…
Descriptors: Mathematics Instruction, Computation, Mathematics Skills, Measurement
Xin, Yan Ping, Ed.; Tzur, Ron, Ed.; Thouless, Helen, Ed. – Research in Mathematics Education, 2022
This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students' mathematical thinking, thus contributing…
Descriptors: Foreign Countries, Students with Disabilities, Mathematics Instruction, Classroom Techniques
Quinnell, Lorna – Australian Primary Mathematics Classroom, 2018
Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…
Descriptors: Problem Solving, Selection, Mathematics, Methods
Throndsen, Jennifer; MacDonald, Beth; Hunt, Jessica – Australian Primary Mathematics Classroom, 2017
Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.
Descriptors: Mathematics, Mathematics Instruction, Kindergarten, Numbers
Russo, James – Australian Primary Mathematics Classroom, 2018
Estimation is such an important yet sometimes overlooked skill. Enhancing estimation skills through exposing students to enumeration ('how many') problems where they are required to estimate before calculating is a critical aspect of developing number sense (Reys et al., 2012). This article describes a 'how many' problem undertaken with a small…
Descriptors: Foreign Countries, Mathematics Skills, Problem Solving, Computation
Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2016
A considerable number of children rely on counting to solve single-digit addition problems when they are expected to use accurate retrieval-based strategies. There are different reasons why this may be so. Children may use inefficient counting strategies, produce errors when applying backup strategies or lack sufficient confidence to just state…
Descriptors: Elementary School Students, Addition, Problem Solving, Computation
Woolcott, Geoff – Australian Mathematics Teacher, 2018
Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Sequential Approach
Russo, James; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2018
Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children's computational reasoning using structured interviews…
Descriptors: Mental Computation, Thinking Skills, Mathematics Skills, Addition
Hopkins, Sarah; Russo, James – Mathematics Education Research Group of Australasia, 2017
The current study compared the rate at which problem-based practice increased the use of retrieval-based strategies for students identified as displaying accurate min-counting with students identified as displaying almost proficient performance. The findings supported the prediction that the rate at which problem-based practice promoted retrieval…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Based Learning, Mathematics Skills
Chick, Helen – Australian Mathematics Teacher, 2016
The plane problem is a real-world problem, presented without any suggestion as to how it might be solved. It arose unexpectedly as the author was messing around on the internet, not thinking about maths at all. She did not encounter the problem in a maths lesson, nor as homework in the middle of a unit on a particular topic, and so she had no…
Descriptors: Geometry, Mathematics Instruction, Mathematics Education, Problem Solving