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Foster, Colin – Curriculum Journal, 2023
Problem solving is widely regarded as a fundamental feature within the school mathematics curriculum. However, there is considerable disagreement over what exactly problem solving is, and if and how it can be taught. In this article, I define problems as non-routine tasks and propose the explicit teaching of domain-specific problem-solving tactics…
Descriptors: Problem Solving, Mathematics Curriculum, Definitions, Learning Strategies
Strømskag, Heidi; Chevallard, Yves – Teaching Mathematics and Its Applications, 2023
In agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians' mathematics ('scholarly mathematics'). One main result is that the mathematics taught, too often taken for granted by curriculum…
Descriptors: Learning Processes, Learning Theories, Educational Anthropology, Mathematics Instruction
Mi Yeon Lee; Ji-Eun Lee – International Journal of Science and Mathematics Education, 2025
The aim of this study was to examine how pre-service teachers performed in tasks related to three specific aspects of curricular noticing. The participants completed a two-part written task in which they solved three pattern generalization problems and sequenced them for teaching purposes. Inductive content analysis was used to analyze the…
Descriptors: Preservice Teachers, Teacher Education Programs, Problem Solving, Mathematics Curriculum
Peter Klosterman – Australian Mathematics Education Journal, 2024
In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.
Descriptors: Foreign Countries, Calculus, Mathematics Instruction, Problem Solving
Linda Parish – Australian Primary Mathematics Classroom, 2023
Using mathematical modelling to solve problems appears in all year levels in the Australian Curriculum: Mathematics (v. 9), and is probably the most authentic way of teaching mathematics in context. However, the term mathematical modelling, even if familiar to teachers, may not be well understood or enacted confidently by teachers in their…
Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Elementary School Students
Tim Erickson – Australian Mathematics Education Journal, 2023
This is the first of four columns by Tim Erikson which introduces us to the Common Online Data Analysis Platform (CODAP). CODAP is a free, web-based software tool that your students can use for many types of tasks. This first column shows how CODAP can be used for mathematical modelling and where it might fit with the "Australian Curriculum:…
Descriptors: Mathematics Instruction, Teaching Methods, Computer Software, Data Analysis
Schukajlow, Stanislaw; Kaiser, Gabriele; Stillman, Gloria – Mathematical Thinking and Learning: An International Journal, 2023
Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…
Descriptors: Mathematics Instruction, Metacognition, Mathematical Models, Learning Activities
Ishmatul Maula; Toto Nusantara; I Made Sulandra; Sisworo – Mathematics Teaching Research Journal, 2024
This research aims to describe the mathematical problems posed by prospective elementary school pre-service teachers in differentiated learning. This research uses a qualitative approach and uses problem-posing tasks and interviews as tools for collecting data. In the problem-posing task, information on learning conditions is provided, which…
Descriptors: Mathematics Skills, Problem Solving, Individualized Instruction, Mathematics Instruction
Soto, Osvaldo; Siy, Kris; Harel, Guershon – ZDM: Mathematics Education, 2022
In this case study, we investigate one teacher's implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher's practices in whole-class discussions of two counting problems, we study how they advanced a variety of ways of thinking to support the development of a set-oriented way of…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Curriculum, Computation
Brendan O'Sullivan; Sinéad Breen; Ann O'Shea – Irish Educational Studies, 2024
This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…
Descriptors: Mathematics Instruction, Educational Change, Curriculum Development, Calculus
Tanvir Prince – Numeracy, 2024
This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals…
Descriptors: Mathematics Skills, Thinking Skills, Equations (Mathematics), Urban Schools
Abolfazl Rafiepour – International Society for Technology, Education, and Science, 2023
In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…
Descriptors: Teaching Methods, Mathematics Instruction, Barriers, Task Analysis
George B. Borromeo – Journal of Science and Mathematics Education in Southeast Asia, 2023
Teaching through problem-solving (TTP) is an approach that helps develop learners', critical thinking, creative thinking, communication collaborative, and computational (5Cs) skills. This approach provides an opportunity for the teachers to maximise metacognition resulting in quality of instruction. This research study aims to determine the…
Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Elementary Schools
Kaur, Berinderjeet; Tong, Cherng Luen; Jahangeer, Mohamed Jahabar – Mathematics Education Research Group of Australasia, 2023
The primary school mathematics syllabuses in Singapore as of the year 2020 reinforces that Big ideas are central to the learning of mathematics. In support of the push to teach for big ideas, a research study is presently underway. A part of it is on the professional development (PD) of primary school mathematics teachers. As part of the PD…
Descriptors: Elementary School Teachers, Mathematics Instruction, Problem Solving, Mathematics Curriculum
Margaret Marshman; Emily Ross; Anne Bennison; Merrilyn Goos – Mathematics Education Research Group of Australasia, 2024
Curriculum change affords middle leaders opportunities for pedagogical and planning renewal. This paper reports case studies of two schools engaged in preparing for implementation of Version 9 of the Australian Curriculum: Mathematics. Drawing on interview data from a middle leader from each school, Bacchi's question, "What's the problem…
Descriptors: Educational Change, Mathematics Instruction, Mathematics Curriculum, National Curriculum