Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…

Computer games and computer-assisted instruction have become prevalent in reading classrooms. However, research-based guidance for teacher use of such resources has not progressed at the same rate. In lieu of research, myths circulate about the utility of these resources, particularly when students use computer games independently. The authors…

Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…

While circulating the room during a classroom activity where preservice teachers are required to teach a mini-lesson to their classmates, Jane Metty's ear was drawn to one particular group where a student asked, "What color is blood?"--and heard the student teacher confidently answer, "Blue." She then began to wonder where…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

Secondary school chemistry teachers' understanding of chemical equilibrium was investigated through interviews using the think-aloud technique. The interviews were conducted with twelve volunteer chemistry teachers in Hong Kong. Their teaching experience ranged from 3 to 18 years. They were asked to predict what would happen to the equilibrium…

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,…

The aim of the present research was to investigate the effect of the amount and quality of content knowledge on pedagogical content knowledge (PCK). The chemical content of phases of matters was used as an example. The research sample consisted of 28 science student teachers. The lesson preparation task, content knowledge test and semi-structured…

"Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

This story of a student's misconceptions about quadrilateral properties makes a case for the importance of teachers not only knowing where their students have been and where they are in terms of their learning, but also where their current learning will lead them in the future. Suggested classroom activities are included. (Contains 8 figures.)

"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…

The purpose of this study was to examine preservice mathematics teachers' knowledge about common (mis)conceptions and difficulties of elementary students. In addition, it was aimed to investigate preservice teachers' knowledge about the possible sources of these misconception/difficulties, and their suggested strategies to overcome those…