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Amenda N. Chow; Peter D. Harrington; Fok-Shuen Leung – Teaching Mathematics and Its Applications, 2024
Physical experiments in classrooms have many benefits for student learning, including increased student interest, participation and knowledge retention. While experiments are common in engineering and physics classes, they are seldom used in first-year calculus, where the focus is on solving problems analytically and, occasionally, numerically. In…
Descriptors: Mathematics Instruction, Calculus, Computer Software, Programming
Kym Fry; Judith Hillman; Rhonda Horne; Elizabeth Rasmussen – Mathematics Education Research Group of Australasia, 2024
The revised Australian curriculum presents a new emphasis in primary schools on the process of Mathematical Modelling. A modelling focus brings close attention to confidence and capability with a potentially new problem-solving process, associated language, and pedagogical processes. This paper presents a Year 4 classroom modelling experience that…
Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Mathematics Instruction
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Xu, Yanhui – Australian Mathematics Education Journal, 2023
This paper describes a model of mathematics bianshi teaching using one problem with several solutions, changes, and applications in an inquiry-based classroom. Based on the model of mathematics bianshi teaching, the author discusses a class-room experience where one Chinese mathematics teacher takes a simple plane geometry problem to guide…
Descriptors: Models, Mathematics Instruction, Teaching Methods, Creativity
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Abdullah Terzi; Tugrul Kar – Education 3-13, 2024
The present study aimed to test the effect of the problem-posing instruction experimentally based on the extended active learning framework on the development of Turkish middle school sixth-grade students' (N = 19) problem-posing and -solving skills with whole-number operations. The training programme was completed in 13 lessons over a seven-week…
Descriptors: Foreign Countries, Grade 6, Elementary School Students, Problem Solving
Saba Gerami – ProQuest LLC, 2024
In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…
Descriptors: Calculus, Mathematics Teachers, Mathematics Instruction, Teaching Methods
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Mercat, Christian – Open Education Studies, 2022
This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.
Descriptors: Active Learning, Classroom Techniques, Engineering Education, Higher Education
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Hubbard, Jane; Russo, James; Sullivan, Peter – Australian Primary Mathematics Classroom, 2023
This article is based upon Peter Sullivan's (2021) structured inquiry approach to teaching mathematics, in which the authors take a deep dive into the technique of "Spotlighting" in the "Explore" phase of this model to assist in optimal learning experiences for students. Working from the premise that students are best placed to…
Descriptors: Scaffolding (Teaching Technique), Teaching Methods, Mathematics Instruction, Inquiry
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Swidan, Osama; Cusi, Annalisa; Robutti, Ornella; Arzarello, Ferdinando – For the Learning of Mathematics, 2023
This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…
Descriptors: Teaching Methods, Mathematics Instruction, Inquiry, Active Learning
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Joanne Mulligan; Russell Tytler; Vaughan Prain; Melinda Kirk – Mathematics Education Research Journal, 2024
This paper illustrates how years 1 and 2 students were guided to engage in data modelling and statistical reasoning through interdisciplinary mathematics and science investigations drawn from an Australian 3-year longitudinal study: "Interdisciplinary Mathematics and Science Learning" (https://imslearning.org/). The project developed…
Descriptors: Statistics Education, Longitudinal Studies, Interdisciplinary Approach, Inquiry
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Amalija Žakelj; Mara Cotic; Daniel Doz – Cogent Education, 2024
The present research investigates the effects of an active and experiential learning approach on eighth-grade students' mathematics achievement employing a quasi-experimental research design. A total of 231 students from four Slovenian primary schools participated in the study, with 101 students assigned to the experimental group (EG) and 130 to…
Descriptors: Foreign Countries, Secondary School Mathematics, Secondary School Students, Grade 8
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Douventzidis, Andrew; Landquist, Eric – PRIMUS, 2022
The typical trigonometry, precalculus, or calculus student might not agree that logarithms are hot stuff, but we drew motivation from chili peppers to help students get a better taste for logarithms. The Scoville scale, which ranges from 0 to 16,000,000, has been the sole quantitative metric to measure the pungency (spiciness) of peppers since its…
Descriptors: Numbers, Food, Rating Scales, Sensory Experience
Rose Wood; Rhonda Horne; Katie Makar – Mathematics Education Research Group of Australasia, 2024
Research shows that when students engage with mathematical inquiry their problem-solving skills are strengthened. Demands in the revised Australian curriculum raised problem-solving of new senior secondary mathematics assessment, specifically in Queensland Problem-solving and Modelling Tasks (PSMTs). The challenge for Queensland was to scale…
Descriptors: Mathematics Instruction, Teaching Methods, Evidence Based Practice, Problem Solving
Kristin Zorn; Kym Fry; Kevin Larkin; Peter Grootenboer – Mathematics Education Research Group of Australasia, 2024
Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…
Descriptors: Problem Solving, Mathematics Instruction, Video Technology, Teaching Methods
Stephanie Lynn Blanton – ProQuest LLC, 2024
This convergent mixed methods study investigated the relationship between the assessment-capable learning (ACL) instructional model, John Hattie's influence referred to as "students driving their own learning," and math achievement in kindergarten. While Visible Learning literature has focused on secondary and higher education, this…
Descriptors: Kindergarten, Early Childhood Education, Early Childhood Teachers, Mathematics Achievement
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Sheila Tabanli – International Journal of Teaching and Learning in Higher Education, 2023
There is a large body of research on how to improve student learning through active learning and metacognition. However, without well-structured guidelines, students do not tend to actively engage with the taught material, peers, and the instructor at a desirable metacognitive level (Deslauriers et al., 2019). To address this problem, a…
Descriptors: Active Learning, Metacognition, Skill Development, Mathematics Education
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