A remarkable feature of the set of papers in this issue is the consistent pattern of tending to deal with non-linear situations as if they are linear that is shown by students widely differing in age and educational systems, and studying various topics within mathematics. Methodological issues about the difficulty of interpretation of student…

In recent years, there has been a demand to teach engineering in high schools, particularly using a challenge-based curriculum. Many of these programs have the dual goals of teaching students the engineering design process (EDP), and teaching to deepen their understanding and ability to apply science and math concepts. Using both quantitative and…

Research in experimental and developmental psychology, cognitive science, and neuroscience suggests that tool fluency depends on the merging of perceptual and motor aspects of its use, an achievement the authors call "perceptuomotor integration." Just as expertise in playing a piano relies on the interanimation of finger movements and…

The development of statistical literacy is fast becoming the focus of a large part of mathematics instruction at primary, secondary and tertiary levels. This broadening of the mathematics curriculum to encompass a focus on statistics makes considerable demands on teachers. Most mathematics teachers acknowledge the practical importance of…

This paper reports on the trial of video excerpts of mathematics teaching used in teaching pre-service primary teachers in a four-year undergraduate teacher education degree program. After viewing a video excerpt of teaching a basic mathematics concept, pre-service teachers were asked to identify the focus of the lesson and aspects of the…

This article explores junior high school students' views regarding what it takes to be successful in mathematics. Qualitative and quantitative methods were employed to collect and analyse data, describe and interpret junior high school students (12-14 years) perceptions about what it takes to be successful in mathematics. 22 students from four…

Research spanning two decades shows that there is a continuing development of 3D virtual worlds and investment in such environments for educational purposes. Research stresses the need for these environments to be well-designed and for suitable pedagogies to be implemented in the teaching practice in order for these worlds to be fully effective.…

Background: Although making explicit links between procedures and concepts during instruction in mathematics is important, it is still unclear the precise moments during instruction when such links are best made. Aims: The objective was to test the effectiveness of a 3-week classroom intervention on the fractions knowledge of grade 5/6 students.…

We discuss a mathematics capstone course designed to help students grow in mathematical independence. We describe how the course is structured to support this goal and the major assignments: a course wiki, a group expository project, and an individual problem to solve and extend. Students learn to ask and answer their own questions, helping them…

In three semiguided inquiry lessons on population biology, students use models and simulations to examine population trends and make projections. They are guided to create and evaluate data and to use algebraic and geometric representations to examine biotic and logistic growth models as part of examining human population growth. As they recognize…

The purpose of this study was to determine the relationship between reading comprehension scores and conceptual mathematics scores of third grade students at a selected elementary school. The sample consisted of 27 students of which 15 were females and 12 were males. Data were collected using a teacher made conceptual math exam and the scores from…

Introduction: For decades, prior to the inception of the Common Core State Standards (CCSS), the National Assessment of Educational Progress (NAEP) was the only vehicle through which states could assess the progress of their students using a common metric. Now, 45 states, 4 U.S. territories, and the District of Columbia have adopted the CCSS to…

A reverse engineering approach to automatic item generation (AIG) was applied to a figure-based publicly released test item from the Organisation for Economic Cooperation and Development (OECD) Programme for International Student Assessment (PISA) mathematical literacy cognitive instrument as part of a proof of concept. The author created an item…

The Common Core State Standards for Mathematics (CCSSM) are founded on a long history of mathematics education research emphasizing the importance of teaching mathematics for understanding. The CCSSM along with the National Council of Teachers of Mathematics (NCTM) recommend the use of technology in the teaching of mathematics. New mobile…

With the passage of the No Child Left Behind Act of 2001, public school districts in the United States are working to improve the achievement of students on state standardized tests for accountability. Teachers, administrators, and districts need to find ways to get all students to pass standardized tests. Mathematical concepts appear throughout…