In order to provide insight into cross-national differences in students' achievement, this study compares the initial treatment of the concept of function sections of Chinese and US textbooks. The number of lessons, contents, and mathematical problems were analyzed. The results show that the US curricula introduce the concept of function one year…

Early experiences with theoretical thinking and generalization in measurement are hypothesized to develop constructs we name here as logical reasoning and preparedness for algebra. Based on work of V. V. Davydov (1975), the Measure Up (MU) elementary grades experimental mathematics curriculum uses quantities of area, length, volume, and mass to…

Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

This study aimed at evaluating the 10th grade computerized mathematics curriculum from the perspective of the teachers and supervisors in the southern region in Jordan. The study population consisted of all the teachers who teach the 10th grade in the southern region, with the total of (309) teachers and (20) supervisors. The sample consisted of…

This paper reports on a large national project that explored successful numeracy practices in remote and very remote schools. While there have been a number of significant findings, the middle leader has been identified as a key role in the development of successful numeracy/mathematics practices in schools. The middle leader plays a critical role…

Two decades ago, in an award-winning paper, Dan Kennedy (1995) likened learning mathematics to climbing a tree, for which there was only one way to climb: up a large and solid trunk. In the limited time that is available, many students give up the climb, impede others, fall off the trunk, or fail to climb the tree sufficiently well. In the case of…

Curriculum materials are integral to the teaching and learning of mathematics and have been described as having the most influence on what teachers actually plan for and enact in their classrooms. In this paper we describe how two teachers with varying years of experience, but similar experiences with curriculum materials, use curriculum materials…

Reasoning Mind products are used by over 100,000 students a year and have shown positive outcomes. In this design case we focus on implementation: how Reasoning Mind's approach evolved to tackle the challenge of achieving consistently high-quality implementations with many different schools, teachers, and students. Key insights include the…

Reasoning Mind products are used by over 100,000 students a year and have shown positive outcomes. In this design case we focus on implementation: how Reasoning Mind's approach evolved to tackle the challenge of achieving consistently high-quality implementations with many different schools, teachers, and students. Key insights include the…

The internet is used by teachers to help find resources to integrate technology into their classrooms in a variety of ways (Handal, Campbell, Cavanagh, Petocz, & Kelly, 2013). The purpose of this study was to investigate the websites preservice teachers (PSTs) used during their field experiences in secondary mathematics. To address the purpose…

The teaching of sorting algorithms is an essential topic in undergraduate computing courses. Typically the courses are taught through traditional lectures and exercises involving the implementation of the algorithms. As an alternative, this article presents the design and evaluation of three educational games for teaching Quicksort and Heapsort.…

This article presents Malaysian student teachers' reports of using an action, reflection and modelling (ARM) pedagogical approach during their placements in Malaysian primary schools. The ARM approach was designed to support the implementation of the Malaysian primary school mathematics curriculum, which involved changing classroom practice in…

Starting with Woodworth and Thorndike's classical experiment published in 1901, major periods in mathematics education throughout 20th century and on into the current century are reviewed in terms of competing epistemological and psychological paradigms that were operating within as well as across the major periods. The periods were marked by…

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six…

The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary…