This article provides a classroom resource for identifying, assessing and promoting one aspect of reasoning--analysing--through the Assessing Mathematical Reasoning Rubric. Practical examples of student work and rubric levels are offered.

Knowledge that teachers bring to the teaching context is one of the key factors in discussions about mathematics teaching. This study aimed to explore in-service primary teachers' knowledge of fraction division using division tasks. The first phase of the study examined fifty-one primary in-service teachers' written responses to division items.…

Importance of mathematics in technological development of any nation requires that more attention be given to students with consistent failure in the subject. This study established the effectiveness of an after school programme among low learners in mathematics. Pre- and post-test, control group quasi-experimental design was used for the study.…

Motivation is a meta concept with well-researched theoretical constructs, such as expectancy-value and intrinsic-extrinsic, and encompasses a myriad of related theories such as self-efficacy, goal theory, theories of intelligence, choice theory, self-determination theory, and flow, among others. This study developed a framework that enables visual…

Problems are part of our lives. It causes stress, tension, emotional instability, and physical strain to us. It is very essential to deal with our problems before they deal with our happiness. Problem solving skill is an irreplaceable life skill and it is cognitive or thinking activity essential to our day-to-day lives. In order to lead a…

The aim of this study is to develop a valid and reliable measurement tool that can be used to determine the technological pedagogical content knowledge efficiency of mathematics teacher candidates. The study is conducted with 453 elementary and secondary school preservice mathematics teachers. SPSS and AMOS programs are used for statistical…

Streaming students in secondary mathematics classrooms is a common practice in the province of Ontario, although there is conflicting evidence of its benefits. In this province, three streams of mathematics are available in grade 9. One of these streams, termed "locally developed," is based on the idea that school boards and teachers…

The purpose of this study was to investigate pre-service teachers' views about the history of mathematics course in which GeoGebra was used. The qualitative research design was used in this study. The participants of the study consisted of 23 pre-service mathematics teachers studying at a state university in Turkey. An open-ended questionnaire was…

A common goal for mathematics teachers at any grade level is for "all" students--not just future mathematics teachers--to develop deep understanding of the mathematics they are learning and using. To that end, this lesson can be used in an upper-level high school mathematics course to introduce the concept of a radian in a way that…

How do students cope with and make sense of polysemy in mathematics? Zazkis (1998) tackled these questions in the case of 'divisor' and 'quotient'. When requested to determine the quotient in the division of 12 by 5, some of her pre-service teachers operated in the domain of integers and argued for 2, while others adhered to rational numbers and…

Identifying mathematical interventions that practitioners can implement to improve the mathematical problem solving (PS) of students is a need for the field. Literature on the PS performance of students with disabilities has grown; recently, schema instruction (SI) has been suggested as an evidence-based practice. The purpose of this study was to…

As researchers and practitioners have increasingly become interested in what practices are evidence based and for whom in education, different sets of quality indicators and evidence-based practice standards have emerged in the field of special education. Practices are commonly suggested as evidence based, even without a best evidence synthesis on…

While it is widely believed that Specialized Content Knowledge (SCK) is essential to effective and quality mathematics teaching, the specific constructs that compose SCK remain underspecified. This paper describes the development and use of a new framework that extends the notion of SCK. The framework was trialled with a cohort of 90 first year…

This article reports on a "post hoc" study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students' results in solving contextual mathematical problems with either a descriptive or a depictive…

One way to recognize how mathematical lessons can be stimulating for children is to interpret them as stories. If mathematical lessons follow a structure similar to that of a story, they can build anticipation, create surprise, and even generate intrigue (Egan 1988). To support the design of mathematical lessons with these types of aesthetic…