This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Many students, especially as they get older, only share their thinking in math class when they're sure they have the right answer. This means that some students hardly talk at all. Yet, talking and writing about in-process and unfinished ideas are vital to learning mathematics. How can we meet this challenge? Amanda (Mandy) Jansen and her collaborating teachers have developed a breakthrough approach: expand the idea of 'rough drafts' to the mathematics classroom. In Rough Draft Math, Mandy shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they talk to learn through problem-solving rather than talking only to perform right answers. In the process, a class of students becomes a community of mathematical thinkers, and teachers gain access into their students' ideas and understandings. Inside you'll find the following: an exploration of what the idea of revision could mean for math teaching and learning classroom vignettes to see rough draft math in action specific teaching techniques to encourage and practice rough draft thinking voices of teachers and students in rough draft classrooms Mandy's reflections about her own teaching as a work in progress In Rough Draft Math, Mandy shows how to create a classroom culture in which your students will feel more comfortable expressing their partial understandings and in-process thinking, and then continually revising that thinking as they build deep, conceptual understanding of mathematics.