This paper draws on four case studies to perform a cross-case analysis investigating the unique and joint contribution of mathematical knowledge for teaching (MKT) and curriculum materials to instructional quality. As expected, it was found that both MKT and curriculum materials matter for instruction. The contribution of MKT was more prevalent in…

A randomized controlled trial conducted in Alaska examined the efficacy of 2 second-grade modules of the reform-oriented and culturally based Math in a Cultural Context (MCC) teacher training and curriculum. The results show that the "Picking Berries" (representing and measuring) and "Going to Egg Island" (grouping and place…

A decade of PMRI saw the changes in the classroom in some of the primary schools in Indonesia. Based on observation, we can say that though the mathematics syllabus in Indonesia did not change, its curriculum has changed under the movement of PMRI. In this article, we put in writing some of the experience gained through the involvement in…

The paper reports some findings about how pre-service students engage with the mathematics and statistics section of the "New Zealand Curriculum" (2007), when writing a yearly long-term plan in this curriculum area. This authentic task for pre-service students provided opportunities to seek out information about relevant curriculum…

This study draws on data from a broader video-stimulated interview study of the role of optimism in collaborative problem solving. It examines the activity of a Grade 5 student, Tom, whose initial constructing activity resulted in a "Partially Correct Construct". Insistent questioning from another group member pressuring for…

Curriculum reforms in the teaching of mathematics have encouraged a move away from sole memorisation of facts to the construction of deeper levels of understanding. With this reform, teachers of mathematics are called to act as facilitators of the construction of mathematical knowledge. However, some research suggests that students believe that…

This paper reports on the structure and impact of a one on one numeracy intervention project conducted during 2009 with students in years 1, 4 and 8. The project was built on a Reading Recovery model, using research into how the brain learns mathematics and ideas of threshold concepts. Teachers were provided time to work individually with students…

The "Connected Mathematics Project" ("CMP") is a mathematics curriculum designed for students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The curriculum uses an investigative approach, and students utilize interactive…

The derivative of a composite function, taken with the chain rule is one of the important notions in calculus. This paper describes a study conducted in Turkey that shows that the chain rule was given with the formula in function notation and/or the Leibniz notation without relating these formulas to life-related problem situations in the…

Building coherence in the development of mathematical ideas across the grades is key to improving students' mathematical learning in the United States. Knowing the mathematical experiences, understanding, skills, and habits of mind that students bring to a grade level and what the expectations are for the following grades can help teachers bridge…

The role of evaluation is to determine whether a project achieves what it sets out to do. Using a strategy often referred to as "backwards planning" or "backwards research design," the evaluation process operationalizes project goals and then, asking the question "What would success look like?" identifies measurable indices of success (Friedman,…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

How can we increase mathematics achievement among all students? This book provides a straightforward explanation of how changing mathematics tracking policies to provide algebra instruction to all students by at least eighth grade can bring about changes in both student achievement and teacher performance. Spielhagen chronicles the success of a…

The concept of learning progressions offers one promising approach to developing the knowledge needed to define the "track" that students may be on, or should be on Learning progressions can inform teachers about what to expect from their students. They provide an empirical basis for choices about when to teach what to whom Learning…

Progress in secondary education today is measured primarily through high stakes testing administered on a state-by-state basis. While states may require a common assessment instrument, how the objectives are to be taught, however, is generally up to the schools. This results in debates among educators as to the best curricula for all students.…