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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Brain Power Enrichment Programs aim to develop problem-solving abilities in students who wish to improve their skills. Additionally, the program may provide challenging, stimulating and inspirational learning experiences through engagement with math and logic problem solving for gifted children. This book accompanies a Level Two student through his/her second semester of the problem solving program (or it may be used independently as a problem solving workbook). All Brain Power programs are based on a step-by-step approach, which enables students to understand problems of increasing complexity. Level Two continues to equip students typically in grades 6 to 8 with problem solving strategies and techniques, and supports the application of these skills to algebra and geometry. The implications for improving one’s problem solving skills are numerous. These include a more positive attitude toward math and science, improved thinking flexibility and creativity in all subject areas, as well as increased success on academic, gifted, university admissions, and professional program tests (many of which are designed with an emphasis on assessing higher-order thinking skills). Moreover, knowledge of a range of problem solving strategies coupled with experience in their application, have benefits which transcend the classroom and enter the realm of professional, social, and intellectual accomplishment.
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.
Brain Power Enrichment Programs aim to develop problem-solving abilities in students who wish to improve their skills. Additionally, the programs may provide challenging, stimulating and inspirational learning experiences through engagement with math and logic problem solving for gifted children. The Student Version book accompanies a Level Two student through his/her first semester of the problem solving program (or it may be used independently as a problem solving workbook). However, this Teacher Version may be used by a teacher or tutor as it has, in addition to the content of the Student Version, short instructions for each lesson as well as answers to problems. All Brain Power programs are based on a step-by-step approach, which enables students to understand problems of increasing complexity. Level Two continues to equip students typically in grades 6 to 8 with problem solving strategies and techniques and supports the application of these skills to algebra and geometry. The implications for improving one's problem solving skills are numerous. These include a more positive attitude toward math and science, improved thinking flexibility and creativity in all subject areas, as well as increased success in academic, gifted, university admissions, and professional program tests (many of which are designed with an emphasis on assessing higher-order thinking skills). Moreover, knowledge of a range of problem solving strategies, coupled with experience in their application, have benefits which transcend the classroom and enter the realm of professional, social and intellectual accomplishment.
The Standards for Mathematical Practice promise to elevate students' learning of math from knowledge to application and bring rigor to math classrooms. Here, the authors unpack each of the eight Practices and provide a wealth of practical ideas and activities to help teachers quickly integrate them into their existing math program.
Brain Power Enrichment Programs aim to develop problem-solving abilities in students who wish to improve their skills. Additionally, the programs may provide challenging, stimulating and inspirational learning experiences through engagement with math and logic problem solving for gifted students. This book accompanies a Level Two student through his/her first semester of the problem solving program (or it may be used independently as a problem solving workbook). All Brain Power programs are based on a step-by-step approach, which enables students to understand problems of increasing complexity. Level Two continues to equip students typically in grades 6 to 8 with problem solving strategies and techniques and supports the application of these skills to algebra and geometry. The implications for improving one's problem solving skills are numerous. These include a more positive attitude toward math and science, improved thinking flexibility and creativity in all subject areas, as well as increased success in academic, gifted, university admissions, and professional program tests (many of which are designed with an emphasis on assessing higher-order thinking skills). Moreover, knowledge of a range of problem solving strategies, coupled with experience in their application, have benefits which transcend the classroom and enter the realm of professional, social and intellectual accomplishment.