Polygons Galore! is a mathematics unit for high-ability learners in grades 3-5 focusing on 2-D and 3-D components of geometry by exploring polygons and polyhedra and their properties. The van Hiele levels of geometric understanding provide conceptual underpinnings for unit activities. The unit consists of nine lessons that include student discovery of properties of polygons and polyhedra, investigations for finding areas of triangles and quadrilaterals, study of the Platonic solids, and real-world applications of polygons and polyhedra. It also includes activities related to identifying, comparing, and analyzing polygons by using properties of the polygons; constructing meanings for geometric terms; developing strategies to find areas of specific polygons; identifying and building regular and nonregular polyhedra; and recognizing geometric ideas and relationships as applied in daily life and in other disciplines, such as art. Grades 3-5

Mathematics Galore! Showcases some of the best activities and student outcomes of the St. Mark's Institute of Mathematics and invites you to engage the mathematics yourself! Revel in the delight of deep intellectual play and marvel at the heights to which young scholars can rise. See some great mathematics explained and proved via natural and accessible means. Based on 26 essays ( newsletters ) and eight additional pieces, Mathematics Galore! offers a large sample of mathematical tidbits and treasures, each immediately enticing, and each a gateway to layers of surprising depth and conundrum. Pick and read essays in no particular order and enjoy the mathematical stories that unfold. Be inspired for your courses, your math clubs and your math circles, or simply enjoy for yourself the bounty of research questions and intriguing puzzlers that lie within.

Polygons Galore! is a mathematics unit for high-ability learners in grades 3-5 focusing on 2-D and 3-D components of geometry by exploring polygons and polyhedra and their properties. The van Hiele levels of geometric understanding provide conceptual underpinnings for unit activities. The unit consists of nine lessons that include student discovery of properties of polygons and polyhedra, investigations for finding areas of triangles and quadrilaterals, study of the Platonic solids, and real-world applications of polygons and polyhedra. It also includes activities related to identifying, comparing, and analyzing polygons by using properties of the polygons; constructing meanings for geometric terms; developing strategies to find areas of specific polygons; identifying and building regular and nonregular polyhedra; and recognizing geometric ideas and relationships as applied in daily life and in other disciplines, such as art. Grades 3-5

This book is a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general math enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking. The essays are self-contained and rely only on tools from high-school mathematics (with only a few pieces that ever-so-briefly brush up against high-school calculus). The gist of each essay is easy to pick up with a cursory glance—the reader should feel free to simply skim through some essays and dive deep into others. This book is an invitation to play with mathematics and to explore its wonders. Much joy awaits! 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.

Arranged by the content strands - Number and Algebra, Measurement and Geometry, Statistics and Probability - giving teachers independence and flexibility in constructing a week-by-week maths program. Practical and hands-on activities encourage students to develop their own strategies as confident learners. Graded activities provide effective scaffolding for students and allow teachers to cater for mixed ability classes. Discussion icons are indicated throughout the books to highlight areas where class or small group discussion can take place. Revision boxes contain information to help students recall past learning, or offer hints and further explanation of difficult concepts. Full-colour photos and illustrations link learning activities to every day contexts to help make maths meaningful. Activities are related to Cambridge Maths-in-a-Box, which enriches the program with contextual activities and saves teachers time with planning.

In the twenty years preceding the First World War, cinema rapidly developed from a fairground curiosity into a major industry and social institution, a source of information and entertainment for millions of people. Only recently have film scholars and historians begun to study these early years of cinema in their own right and not simply as first steps towards the classical narrative cinema we now associate with Hollywood. The essays in this collection trace the fascinating history of how the cinema developed its forms of storytelling and representation and how it evolved into a complex industry with Hollywood rapidly acquiring a dominant role. These issues can be seen to arise from new readings of the so-called pioneers - Melies, Lumiere, Porter, and Griffith - while also suggesting new perspectives on major European filmmakers of the 1910s and 20s. Editor Thomas Elsaesser complements the contributions from leading British, American, and European scholars with introductory essays of his own that provide a comprehensive overview of the field. The volume is the most authoritative survey to date of a key area of contemporary film research, invaluable to historians as well as to students of cinema.

The fourth edition of Content-Based Curriculum for High-Ability Learners provides readers with a complete and up-to-date introduction to core elements of curriculum development in gifted education with implications for school-based implementation. Written by key experts in the field, this text is essential to the development of high-powered, rich, and complex curricula that treat content, process, product, and concept development considerations as equal partners in the task of educating gifted learners. Along with revised chapters, this edition contains new chapters on culturally responsive curriculum, the performing arts, robotics, and engineering design, as well as social and emotional learning. Additional material concerning talent trajectories across the lifespan accompanies a discussion of honors curriculum in higher education, rounding out this comprehensive resource. This master text is a must read for educators interested in executing effective curriculum and instructional interventions to support learning for gifted and advanced learners.

This book follows the successful Amazing Mathematical Amusement Arcade by the same author. It contains a further 128 puzzles and games designed to challenge people of all ages. The subjects range from matchsticks and coins to chocolate manufacture and expeditions across Dartmoor. The second part of the book contains a commentary giving hints and solutions.

Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed. Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students! That’s a problem. But the answer isn’t to supplement the curriculum with random tasks. Classroom Ready-Rich Math Tasks for Grades 6-12 equips you with a cohesive solution--50+ mathematical tasks that are rich, research-based, standards-aligned, and classroom-tested. The tasks: Are organized into learning progressions that help all students make the leap from arithmetic to algebra Offer students interesting mathematics problems to think about and solve so math is investigative, interactive, and engaging Provide opportunities for you to connect new content to prior knowledge or focus on an underdeveloped concept Engage students in conceptual understanding, procedural practice, and problem solving through critical thinking and application Come with downloadable planning tools, student resource pages, and extension questions Include additional support for students who may be struggling Every learner deserves opportunities to engage in meaningful, rigorous mathematics. And every teacher can develop mathematical thinking and reasoning abilities in students. Part of the bestselling series spanning elementary and middle school, Classroom-Ready Rich Algebra Tasks, Grades 6-12 is a powerful add-on to any core mathematics program at your school.

Content-Based Curriculum for High-Ability Learners (3rd ed.) provides a solid introduction to core elements of curriculum development in gifted education and implications for school-based implementation. Written by experts in the field, this text uses cutting-edge design techniques and aligns core content with national and state standards. In addition to revised chapters, the third edition contains new chapters on topics including special populations of gifted learners, critical thinking, leadership, and university-level honors curriculum. The text identifies fundamental principles of curriculum that support advanced and high-potential learners: accelerated learning within the core content areas, use of higher order processes and products, and concept development. These emphases form threads across chapters in core content areas, including language arts, mathematics, science, social studies, world languages, and the arts. Additional chapters explore structures to support implementation, including alignment with standards, assessment of learning, counseling, and promoting exemplary teacher practice through professional development.