The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an…

This paper argues for effective sequencing of mathematics content to aid transition from junior (Year 7 to Year 10) to senior mathematics (Year 11 to Year 12) curriculum in Queensland, Australia and provides a tool for sequencing the mathematics content. Planning templates and samples are available to schools; however, it is imperative for…

This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into…

This study aimed to examine the effect of lesson study in developing pre-service mathematics teachers' questioning skills in terms of improving high school students' answers. The sample consisted of four pre-service teachers (PTs) studying mathematics teaching in a state university in northern Turkey. The study adopted a case study design. The…

This study examines the impact of integrating GeoGebra software into teaching circle properties at the high school level, comparing it with traditional methods. Conducted over 8 weeks with 112 students aged 15-18, it included an experimental group using GeoGebra (56 students) and a control group with classical teaching methods (56 students). The…

The paper explores the division of a polygon into equal-area pieces using line segments originating at a common point. The mathematical background of the proposed method is very simple and belongs to secondary school geometry. Simple examples dividing a square into two, four or eight congruent pieces provide a starting point to discovering how to…

Almost 50 years ago, Arthur Coxford and I developed a high school geometry course in which geometric transformations were fundamental to the mathematical development. Properties of reflections and size changes (dilations) were taken as postulates and used to deduce properties of symmetric figures, the traditional theorems of triangle congruence…

Australian students' attitudes to mathematics are in decline relative to other countries. Their participation in senior secondary mathematics that provide pathways to further study is also falling. Pedagogical approaches that improve students' attitudes to mathematics and knowledge of mathematics are required. This paper reports on preservice…

Teachers whose mathematical meanings support understanding across different contexts are likely to convey them in productive ways for coherent student learning. This exploratory study sought to elicit 67 secondary mathematics pre-service teachers' (PSTs) meanings for quadratics with growing pattern creation and multiple translation tasks. A…

This paper presents an analysis of how school mathematics credentials, particularly calculus, coupled with elite college degrees can allow for presumed proficiencies, resulting in acceptance to a selective alternative route program (SARP) for secondary mathematics. However, such credentials do not guarantee deep mathematics knowledge nor effective…

Due to the COVID-19 pandemic, countries have had to adapt their usual teaching environment and processes to distance education. The purpose of this study was to investigate the Grade 9 geometry course contents shared on the Education Information Network (EBA) platform in terms of mathematics values (mathematical values and mathematics educational…

This article reports outcomes from a working conference focused on the role of simulations in K-12 mathematics and science teacher education. The authors synthesized work shared via conference papers and presentations organized around three questions: (a) How are simulations defined and used? (b) How do simulations work? and (c) What evidence is…

Using the test scores of more than 2,250,000 students who participated in the American Mathematics Competitions (AMC) from 2009 to 2019, this study examined the direction and magnitude of the trends in gender disparity in participation and high achievement in self-select mathematics exams. The results of this study indicated that the male to…

Eliciting and using student thinking (NCTM 2014) is a foundational pedagogical skill that informs the decisions teachers make during instruction. It informs the questions teachers pose, the focus of small-group and whole-class discussions, and even the small adjustments teachers make during a well-planned lesson. To use student thinking to…

The goal of this article is to give examples of high school students exploring parameters of quadratic functions using different tools as a catalyst to discuss the pros and cons and demonstrate the mathematical power of each. The authors illustrate how teachers' learning goals should navigate them toward a productive option.