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The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
This book has more than 3100 addition facts for daily practice by students. Each page has 2 different sets consisting of 18 problems each. It is recommended for students to attempt 1 set daily for consistent practice. Book starts with addition strategies to help students grasp basic concepts and get started. Once students start gaining confidence in individual facts, they can review their knowledge by solving mixed facts. Book can be used to track practice time for each set. Date and time can be recorded at top of each page. Answer to each problem is given at the end of the book. Addition facts table is available at the end of the problems for easy reference. Knowing addition facts is helpful not only in academics; we frequently use addition in our daily lives too. Just like learning to walk before you can run, learning addition and familiarizing yourself with numbers are building blocks for other math topics taught in school - such as division, long multiplication, fractions and algebra. Mastering the basic math facts develops automaticity in kids. Automaticity is the ability to do things without occupying the mind with the low level details that are required; this is usually the result of consistent learning, repetition, and practice. For instance, an experienced cyclist does not have to concentrate on turning the pedals, balancing, and holding on to the handlebars. Instead, those processes are automatic and the cyclist can concentrate on watching the road, the traffic, and other surroundings. Until students have developed sufficient sensory-cognitive tools supporting access to symbolic memory, they will not be able to image, store or retrieve all of the basic facts with automaticity. Therefore, students need a comprehensive, developmental, and multi-sensory structured system for developing automaticity with the facts.
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
The Math in Practice series supports teachers, administrators, and entire school communities as they rethink the teaching of mathematics in grades K-5. The series contains a Teacher's Guide, Administrator's Guide, and grade level books for grades K-5 which provide lesson ideas, teaching tips, and practice activities. --