How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers--to grasp. It will help you engage your students,…

This paper analyses how the mathematical knowledge needed by a teacher has been described by several mathematics educators, all based on Shulman's notions of Subject Matter Knowledge and Pedagogical Content Knowledge. In particular, it looks at the notion of Mathematics Knowledge for Teaching, as elaborated by Ball and her research group. It then…

"Early Childhood Curriculum" addresses current approaches to curriculum for infants, toddlers and young children, ages birth to eight. It provides a comprehensive introduction to the curriculum issues that student teachers and emerging practitioners will face and equips them with the decision-making tools that will ultimately enhance and promote…

As the global community continues the transition from an industrialized factory model to an information and now participatory networked-based society, educational technology will play a pivotal role in preparing students for their futures. Many teacher preparation programs are failing to provide preservice teachers with the knowledge, skills, and…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

Teachers' informed acceptance of challenges associated with teaching technology might ensure the successful implementation of a Technology syllabus in primary schools. They must be prepared to analyse their own understandings of technology concepts and processes, teaching and resource needs, and engage in professional development activities…