Upper Elementary Math Lessons: Case Studies of Real Teaching
Engaging students in worthwhile learning requires more than a knowledge of underlying principles of good teaching. It demands considerable practice as well as images of what good teaching in particular situations and for particular purposes might look like. This volume provides these images.
The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appendices provide a substantial survey of all known results in the field of game complexity, serving as a reference guide for readers interested in the computational complexity of particular games, or interested in open problems about such complexities.
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate.
Funny & Fabulous Fraction Stories: 30 Reproducible Math Tales and Problems to Reinforce Important Fraction Skills
Teaching fractions doesn't have to be like pulling teeth! Your students will love these hilarious reproducible stories and follow-up problems that reinforce essential fraction skills: addition, subtraction, division, multiplication, decimals, ratios, and more. Great for reluctant math learners.
Science does not exist in a vacuum and, therefore, shouldn't be taught that way. In that spirit, Activities Linking Science with Mathematics, K-4 is a hands-on guide for preservice and inservice elementary school teachers who want to connect science instruction with other areas of study including visual arts, social sciences, language arts, and especially math. The 20 discovery-based and academically rigorous activities provided in this volume enrich students awareness of the world around them, encourage their natural curiosity, and promote the development of their problem-solving skills.