Standardised curriculum or standardized lesson plans (SLPs) have become an accepted strategy to support and improve instructional practices in schools worldwide. These standardised lesson plans (SLPs) were criticized in the 1970s and 1980s for deskilling the teaching profession and reducing the work of teachers to that of mere technicians. This…

Teaching methods courses are a crucial factor in the preparation of secondary mathematics teachers. Throughout the United States, secondary methods courses have diverse curricula, including variation in the topics covered in these courses. To assess this variation, the authors identified 41 topics potentially valued by secondary methods…

This study investigates students' development of metamathematical understanding of axioms. Based on four semesters of experiments teaching neutral, axiomatic geometry, often through guided reinvention, I identify five categories of student interpretations of their axiomatizing activity. Similar to previously observed patterns in student…

This article investigates two children's intuitive thinking in solving multiplication problems from different educational backgrounds. One of the children is in a southern elementary school in the US. He was given the same problems both in first and second grades. The other child was a first grader in a southwest region of China, and she was given…

In this article, we present the results of the administration of a questionnaire designed to evaluate the understanding that civil engineering students have of the "antiderivative." The questionnaire was simultaneously administered to samples of Mexican and Colombian students. For the analysis of the answers, we used some theoretical and…

This paper presents the "Mathematics Teacher's Specialised Knowledge" (MTSK) model. It acknowledges earlier contributions to understanding and structuring teachers' knowledge, in particular, the special debt owed to Shulman's notion of "pedagogical content knowledge" and to Ball and collaborators' "Mathematical Knowledge…

In this report, we discuss background research on the development of student understanding of quadratic functions and present a provisional learning progression for quadratic functions and quadratic equations. We also describe task shells that are linked to the learning progression. The learning progression and task shells can be used as a…

Background: The poor performance of learners in mathematics has long been a matter of concern in South Africa. The Annual National Assessment (ANA) results reveal that the problem starts in the foundation phase with number concepts. Aim: This research sought to ascertain how foundation phase teachers used mathematical resources to teach number…

This study reports errors and misconceptions about division operation in fractions made by eighth-grade students. To investigate these errors and misconceptions, the study examined students' understanding of division operation in fractions using a questionnaire and expectation table. Students' misconceptions were determined for each question and…

Randomness and distribution are important concepts underpinning the ability to think and reason probabilistically. Traditional approaches to teaching the Poisson distribution focus on mathematical definitions and formulae which obscure the randomness intrinsic in this process. Advances in technology have made it possible for students learning…

This paper seeks to theorise primary teachers' degree of integration of digital technology in the mathematics classroom. In an age where digital technology use is ubiquitous, the issues surrounding teachers' choice, and ultimately their uptake of digital technologies in the classroom, is an area that need to be further unpacked. Cross-case…

Background: The concept of rational numbers is one of the learner's first experiences with a Mathematics concept beyond the basic skills operations on whole numbers. The personal knowledge of fractions that teachers bring to the teaching context is important because teachers mediate the conceptions that their learners construct. Aim: This study…

Problem Statement: Throughout history, many changes have occurred in the field of mathematics education. These changes have also occurred concerning special topics that mathematics educators have constantly been searching. The significance of problem posing in mathematics teaching has increased recently with respect to its contributions to the…

This paper describes a mathematics task inspired by a children's storybook, The "Important Book" by Margaret Wise Brown, and how secondary mathematics preservice teachers' (PSTs') experiences with this reform-based task influenced their development as educators. Findings suggest that PSTs enjoyed the opportunity to be creative and make…

The purpose of this study is to determine the views of secondary mathematics student teachers regarding teacher insights -Knowledge Quartet's code- into the teaching process. For this purpose, a case study was conducted. 30 volunteer student teachers were asked whether they notice if their students fail to understand the subject matter of the…