Math and Critical Thinking Challenges


Book Description

Let’s Challenge Your Smart Student! A super collection of more than 120 problems challenge your students in all areas of math–from basic arithmetic to algebra –while emphasizing problem-solving and critical thinking. It’s the perfect refresher course on all math subjects we all encounter in our daily lives. The problems and the critical thinking questions in this book are prepared to challenge even the best students in the nation. This is also a problem-solving textbook for students in grades 5 - 12 who are preparing for advanced Math contests like the Harvard-MIT Mathematics Tournament. Written for the gifted math students, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. A strong foundation in pre-algebra is necessary before approaching most of the problems in this book. If your students could solve most of the problems in this book, they are definitely as smart as the world's smartest students. Help your student discovers the most challenging aspects of MATH! What Are You Waiting For? Get this book now and help your SMART student enjoy learning Math today! Scroll to the top of the page and select the buy button. Published By: www.effortlessmath.com




Math Challenges for the Critical Thinker, Grades 5 - 8


Book Description

Challenge students to think outside of the box! Supplement curriculum with creative math that will enhance students' abilities to problem solve, learn and apply strategies, and think critically. Answer keys are included.




81 Fresh & Fun Critical-thinking Activities


Book Description

Help children of all learning styles and strengths improve their critical thinking skills with these creative, cross-curricular activities. Each engaging activity focuses on skills such as recognizing and recalling, evaluating, and analyzing.




10-Minute Critical-Thinking Activities for Math


Book Description

Encourage students to use critical thinking skills to evaluate, then solve, a variety of math enrichment problems. Topics include number theory, geometry, mathematical reasoning, sequencing and patterning, order of operations, algebra, spatial visualization, transformations, and more. Includes many open-ended and non-traditoinal problems to boost brain power in math.




10-Minute Critical-Thinking Activities for Algebra


Book Description

Covers a wide variety of topics including understanding patterns; using algebraic symbols; solving problems with graphs, tables, and equations; and more. Works as an end-of-class activity, extra-credit, or at-home assignment. Includes teaching suggestions, skills matrix, and answer section.




Singapore Math Challenge, Grades 2 - 5


Book Description

Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.




Building Thinking Classrooms in Mathematics, Grades K-12


Book Description

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.




Open Middle Math


Book Description

This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.




Critical Thinking Activities in Patterns, Imagery, Logic


Book Description

... Presents activities to help students develop their thinking and problem-solving skills. Mathematics curriculum specialists have identified from ten to fifteen strategies that can help students solve nonroutine math problems. Often students may need to use more than one such strategy to arrive at the solution for a given problem. Some of these strategies require that students use skills such as thinking visually, recognizing patterns, using logical reasoning, and doing organized counting ...




Challenging Math Problems


Book Description

This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.