Previous studies on advanced middle and high school mathematics course enrollment have focused on the correlation of successful course completion and post-secondary outcomes for students. This instrumental case study examined how school related factors such as personnel and policy influenced equitable enrollment in middle and high school honors…

Every student comes into each classroom with a unique mathematical identity. Mathematical identity consists of the stories about a person's confidence, beliefs, and persistence with mathematics as told by her/himself or by others (Gweshe & Brodie, 2019). Identity is not fixed (Dweck & Yeager, 2019; Wenger, 1998) and is dynamic within a…

High-quality Tier 1 instruction is frequently conceptualized as the "foundation" for other tiers of intervention within multi-tiered systems of support (MTSS) models (Gersten et al., 2009). However, the vast majority of Tier 2 intervention studies do not account for Tier 1 variables when examining intervention effectiveness (Hill et al.,…

Selecting the "better" solution to a problem between the first one that comes to mind and the alternative that may follow is not a "fait-accompli". After all, is it better if it is more economical? Or is it better if it is more elegant? Moreover, taking shortcuts does not always lead to a shorter solution. Consider the simple…

Rather than describing the challenges of integer learning in terms of a transition from positive to negative numbers, we have arrived at a different perspective: We view students as inhabiting distinct mathematical worlds consisting of particular types of numbers (as construed by the students). These worlds distinguish and illuminate students'…

This paper constructs an overview of the historical development of the International Journal for Technology in Mathematics Education (IJTME) during the period 2004- 2018. The titles of the published papers in this period are examined, focusing on what technological tools were studied, and what theoretical ideas were used to study the teaching and…

In this paper, we present and discuss a framework for considering the quality of primary teachers' mediating of primary mathematics within instruction. The "mediating primary mathematics" framework is located in a sociocultural view of instruction as mediational, with mathematical goals focused on structure and generality. It focuses on…

Researchers have argued teachers and students are not developing connected meanings for function inverse, thus calling for a closer examination of teachers' and students' inverse function meanings. Responding to this call, we characterize 25 pre-service teachers' inverse function meanings as inferred from our analysis of clinical interviews. After…

Visualization is an effective method for students to internalize concepts and to establish correlations between concepts. Visualization method is especially more important in mathematics which is perceived as the combination of abstract concepts. In this study, whether 6th grade students can solve questions about "Fractions" by using…

The angle topic is central to the development of geometric knowledge. Two of the basic concepts associated with this topic are the adjacent and opposite angles. It is the goal of the present study to analyze, based on the cultural historical semiotics framework, how high-achieving seventh grade students objectify the adjacent and opposite angles'…

Previous studies revealed that many students cannot perform well when it comes to word problem-solving questions. There are various problem-solving strategies that can be applied to help students to overcome the problem. Visualisation techniques in learning have been used to help students enhance their conceptual understanding of the mathematical…

This article presents some paper-folding activities for students to explore a different way to prove some of the angle properties in a circle.

Two important pedagogical techniques for developing deeper mathematical understanding are to prove a given theorem in different ways and to unify the proofs of different theorems. Trigonometric angle sum and difference identities are introduced in Unit 2 of Specialist Mathematics in the Australian Curriculum (Australian Curriculum, Assessment and…

The author showcases a number of readily available and affordable resources that may be used in mathematics classrooms to provide students with concrete learning experiences. Resources, alone, do not provide educational experiences unless they are accompanied by appropriate teaching to ensure rich and connected learning experiences.

There is a compelling need to develop an algebra teacher self-efficacy instrument (ATSEI) as algebra continues to be considered a gatekeeper course for postsecondary educational and career opportunities, which is seen as a crucial piece in closing the achievement gap. This paper reports on the development and validation of the ATSEI, an instrument…