Mathematical problem solving ability is one of the most important abilities students must have to process the information provided in solving problems. Before using mathematical problem solving skills, prior knowledge becomes the most crucial thing that makes students able to connect all available information so that they can construct new…

Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…

Students tend to see mathematical functions as static, mysterious objects that must be approached according to a set of rules and procedures laid out in mathematics textbooks (Clement 2001). Because learners so rarely experience functions as a meaning-making tool that matters to their understanding of the world, they miss critical opportunities to…

In this action research study, a flipped and non-flipped college-level mathematics classroom were compared. Participants in the flipped classroom watched video lessons outside of class and engaged in classwork problems during class. The non-flipped classroom consisted of a lecture then assigned classwork problems during class. Descriptive…

This article is about Pete's story. It is a story about introducing all-attainment teaching in a secondary school mathematics department and about espousing and enacting a pedagogy and set of practices to enable learning mathematics without limits.

This study aims to look at tenth-grade a mental retardation student in solving the problem of a division operation. The method used is Single Subject Research (SSR) with learning outcomes as variables that are measured and describe student learning activities in solving problems using Math GASING. The data collection technique is done by video…

Affect and mathematical competence are each multifaceted constructs. Accordingly, the studies in this Special Issue address multiple pathways between the two in young children. This commentary highlights the variability of these pathways and asks how affective variables are specifically related to core mathematical activities such as problem…

This paper reports findings from a Fijian study that engaged secondary mathematics teachers in a two-day professional development workshop on the use of portfolios as an alternative means of assessing student learning in mathematics. Utilising an action research approach with a view to involve teachers as key stakeholders in mathematics education,…

Shared book reading can facilitate meaningful mathematical interactions. This study extends prior research by exploring the effect of book content and parent training in shared book reading. A comparison phase embedded within a multiple baseline design across participants was used with three Head Start parent-child dyads to examine the effect of…

A promising method to support game-based learning is to facilitate learners' externalization of cognitive and metacognitive processes. Externalizing Problem Representation (EPR) refers to a cognitive behaviour in which a learner constructs her own representations overtly. The purpose of this study is to investigate whether learning supports…

The current study examined the structure of achievement emotions (enjoyment, anxiety, boredom) and sources of self-efficacy (mastery experience, vicarious experience, social persuasions, and physiological state) of the elementary students by asking whether the two systems were related. Results revealed that the students enjoyed doing mathematics…

Existing frameworks of teachers' knowledge required to teach mathematics do not adequately capture the dynamic aspects of knowledge manifested in teaching practice. In this paper, we examine the knowledge demands that arise in situ, in the course of a teacher listening and responding to students' thinking, while teaching the topic of decimal…

Mathematics anxiety is common among pre-service primary teachers and many experience higher levels of maths anxiety than other university students. This study asks: What are maths anxious preservice teachers' perspectives of "doing" mathematics in a whiteboard room? The Abbreviated Mathematics Anxiety Rating Scale (A-MARS) was used to…

This is a position paper in which we argue for "Teaching for Mathematising" as a pedagogy that supports teaching mathematics for understanding in primary school. Mathematics education in Australia currently emphasises teaching for mathematical understanding, a shift that redirects children's learning from merely memorising computation…

To address student misconceptions and promote student learning, use discussion questions as an alternative to reviewing assessments. This article describes how using discussion questions as an alternative to going over the test can address student misconceptions and can promote student learning.