Hands-On Problem Solving is essential to learning mathematics. When actively engaged in problem solving, students use all the mathematical processes they need in order to achieve the goals of mathematics education and to support lifelong learning. In Hands-On Problem Solving, students are exposed to a wide range of problems in all areas of mathematics. They solve these problems by applying a combination of mathematical knowledge, tools, and strategies. They also explore a variety of methods for solving and confirming their solutions. The ability to use mathematical knowledge to solve problems…mehr
Hands-On Problem Solving is essential to learning mathematics. When actively engaged in problem solving, students use all the mathematical processes they need in order to achieve the goals of mathematics education and to support lifelong learning. In Hands-On Problem Solving, students are exposed to a wide range of problems in all areas of mathematics. They solve these problems by applying a combination of mathematical knowledge, tools, and strategies. They also explore a variety of methods for solving and confirming their solutions. The ability to use mathematical knowledge to solve problems is the goal for all students. Hands-On Problem Solving is an easy-to-use resource that helps teachers plan and implement best practices to meet this goal. In this book you will find * problem-solving activities to incorporate into daily mathematics classes for an entire school year * a correlation chart identifying the math concepts presented in each lesson * tasks designed for specific outcomes and learning expectations from Canadian curriculum documents * problems integrating other curricular areas such as language arts, science, and social studies * materials lists, digital reproducibles, assessment suggestions, and much more! Download the FREE digital resources that accompany this book by following the instructions printed on the first page of the Appendix.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Jennifer E. Lawson, PhD, is the creator of the Hands-On books published by Portage & Main Press. As senior writer and editor for the series, she has contributed to more than 50 publications for teachers and students. Jennifer provides professional development workshops for educators locally, nationally, and virtually, and is a Workplace Wellness Advisor. Her most recent book is a collective effort called Teacher, Take Care: A Guide to Well-Being and Workplace Wellness for Educators. She is also one of the founders of Mission to Mexico, an organization that supports schools in some of the most impoverished communities in Puerto Vallarta. Throughout her extensive career in education, Jennifer has worked as a classroom teacher, resource and special education teacher, consultant, principal, university instructor, and school trustee. She lives with her family in Winnipeg, Manitoba.
Inhaltsangabe
Introduction to Hands-On Problem Solving, Grade 4 1 * Program Introduction 2 * Program Principles 2 * Big Ideas in Mathematics 2 * Communication 2 * Connections 3 * Mental Math 3 * Estimation 3 * Reasoning 4 * Technology 4 * Visualization 4 * Problem Solving 4 * What Is Problem Solving? 4 * Best Practices in Teaching Problem Solving 5 * Routine Problems 5 * Non-Routine Problems 5 * Extended Exploration Problems 7 * Implementing the Hands-On Problem-Solving Program 7 * Program Format 7 * Planning Your Year of Problem Solving 7 * Curricular Connections 8 * Supporting Literacy During Problem Solving 8 * The Questioning Process 8 * Additional Resources 8 * A Note About Pennies 8 * Guiding and Supporting Learning – Problem Solving 10 * Mathematics Correlation 11 * Grade 4 Correlation Chart 11 The Hands-On Problem Solving Assessment Plan 13 * Assessment for Learning 13 * Assessment as Learning 13 * Assessment of Learning 14 * Performance Assessment 14 * Portfolios 14 * Assessment Reproducibles 16 Routine Problems 25 1. Implementation of Routine Problems 26 2. Problem Types 26 3. Teaching Routine Problems 27 * 1A Mad About Marbles 32 * 2A Gathering Acorns 35 * 3A Reading Challenge 38 * 4A The Largest Number 41 * 5A Taking Goats to the Fair 44 * 6A How Tall Is Spencer? 46 * 7A Pumpkin Seed Project 48 * 8A How Much TV? 50 * 9A A Box of Chocolates 53 * 10A How Much Money Is Left? 55 * 11A Miranda’s Shadow 57 * 12A Collecting Cans of Soup 59 * 13A A Driving Holiday 61 * 14A The Shortest Living Man 63 * 15A Practising Piano 65 * 16A Mailing Letters 67 * 17A How Many Kilometres? 70 * 18A Summer Camp Supplies 72 * 19A Hoping to See the Concert 74 * 20A Eating Pizza 76 * 21A Buying Gum 78 * 22A Balls for the Golf Tournament 80 * 23A Stick-on Tattoos 82 * 24A Herding the Sheep 84 * 25A Discussing...Diapers? 86 * 26A Mathematics With Vowels and Consonants 88 * 27A Beads for Plaster Art 90 * 28A The Wild Monkey Roller Coaster 92 * 29A The Terry Fox Run Lemonade Fundraiser 94 * 30A T-Shirt Survey 96 * 31A Toothpick Shapes 98 * 32A Drawing 2-D Shapes 100 * 33A A Symmetrical Design 102 * 34A Building 3-D Skeletons 104 * 35A A Castle of 3-D Solids 106 * 36A Running Late 108 * 37A The Dog Run 111 * 38A Estimating Time 113 * 39A Not Keeping Time 115 * 40A A Long Bus Trip 117 Non-Routine Problems 119 4. Implementation of Non-Routine Problems 120 5. Teaching Non-Routine Problems 123 6. An Additional Resource for Solving Non-Routine Problems 125 7. Guiding and Supporting Learning – Non-Routine Problems 126 * 1B Silas’s Cap Collection 127 * 2B Building Numbers With Base-Ten Blocks 131 * 3B Number Sentences 133 * 4B Climbing Up the Well 135 * 5B Putting Away the Balls 137 * 6B Putting the Cake Orders Back in Sequence 139 * 7B Collecting Fossils 143 * 8B Building a Pyramid Model 146 * 9B Geese Flying South 149 * 10B How Many Marbles in Each Container? 152 * 11B Who Scored That Touchdown? 154 * 12B Considering Careers 156 * 13B The Archery Tournament 159 * 14B When Do the Children Rule the Schools? 162 * 15B Six Pieces of Blue Shoelace Licorice 164 * 16B Feeding the Pets 167 * 17B Going to the Soccer Tournament 171 * 18B Wendy’s Ice Cream Cart 174 * 19B Running Laps Around the Track 177 * 20B Making Stickers 179 * 21B Building a Light-Rail Transit System 181 * 22B Perimeter of A Rectangle 183 * 23B Leftover Pizza 185 * 24B Number Puzzler 187 * 25B Placing Numbers on a Number Line 190 * 26B How Many Cans of Paint? 192 * 27B Numbers on Lockers 194 * 28B Pizza for Charity 196 * 29B Megan Makes a Math Mobile 198 * 30B How Old Will Chico Be? 200 * 31B Saving for a Bike 202 * 32B Seven Layer Salad 205 * 33B Half of Half of Half... 207 * 34B How Many Girls and Boys? 209 * 35B In What Order Are the Shapes? 211 * 36B Hexagon Sandboxes 213 * 37B Singles and Doubles Badminton 215 * 38B Building a Patio 217 * 39B Spruce Up the School Day 219 * 40B Toothpick Houses 221 Extended Exploration Problems 223 8. Implementation of Extended Exploration Problems 224 9. Teaching Extended Exploration Problems 224 10. Guiding and Supporting Learning – Extended Exploration Problems 228 * 1C Number Architect 229 * 2C A Game That Lasts a Lifetime? 233 * 3C Curling Challenge 235 * 4C Designing a Garden 238 * 5C Turkey Fundraiser 241 * 6C What Is Wrong With the Clock? 245 * 7C Pattern Block Designs 248 * 8C Planning a Car Trip 251 * 9C Running Laps 254 * 10C Planning a Feast 256 Appendix 261 References 268 About the Authors 269
Introduction to Hands-On Problem Solving, Grade 4 1 * Program Introduction 2 * Program Principles 2 * Big Ideas in Mathematics 2 * Communication 2 * Connections 3 * Mental Math 3 * Estimation 3 * Reasoning 4 * Technology 4 * Visualization 4 * Problem Solving 4 * What Is Problem Solving? 4 * Best Practices in Teaching Problem Solving 5 * Routine Problems 5 * Non-Routine Problems 5 * Extended Exploration Problems 7 * Implementing the Hands-On Problem-Solving Program 7 * Program Format 7 * Planning Your Year of Problem Solving 7 * Curricular Connections 8 * Supporting Literacy During Problem Solving 8 * The Questioning Process 8 * Additional Resources 8 * A Note About Pennies 8 * Guiding and Supporting Learning – Problem Solving 10 * Mathematics Correlation 11 * Grade 4 Correlation Chart 11 The Hands-On Problem Solving Assessment Plan 13 * Assessment for Learning 13 * Assessment as Learning 13 * Assessment of Learning 14 * Performance Assessment 14 * Portfolios 14 * Assessment Reproducibles 16 Routine Problems 25 1. Implementation of Routine Problems 26 2. Problem Types 26 3. Teaching Routine Problems 27 * 1A Mad About Marbles 32 * 2A Gathering Acorns 35 * 3A Reading Challenge 38 * 4A The Largest Number 41 * 5A Taking Goats to the Fair 44 * 6A How Tall Is Spencer? 46 * 7A Pumpkin Seed Project 48 * 8A How Much TV? 50 * 9A A Box of Chocolates 53 * 10A How Much Money Is Left? 55 * 11A Miranda’s Shadow 57 * 12A Collecting Cans of Soup 59 * 13A A Driving Holiday 61 * 14A The Shortest Living Man 63 * 15A Practising Piano 65 * 16A Mailing Letters 67 * 17A How Many Kilometres? 70 * 18A Summer Camp Supplies 72 * 19A Hoping to See the Concert 74 * 20A Eating Pizza 76 * 21A Buying Gum 78 * 22A Balls for the Golf Tournament 80 * 23A Stick-on Tattoos 82 * 24A Herding the Sheep 84 * 25A Discussing...Diapers? 86 * 26A Mathematics With Vowels and Consonants 88 * 27A Beads for Plaster Art 90 * 28A The Wild Monkey Roller Coaster 92 * 29A The Terry Fox Run Lemonade Fundraiser 94 * 30A T-Shirt Survey 96 * 31A Toothpick Shapes 98 * 32A Drawing 2-D Shapes 100 * 33A A Symmetrical Design 102 * 34A Building 3-D Skeletons 104 * 35A A Castle of 3-D Solids 106 * 36A Running Late 108 * 37A The Dog Run 111 * 38A Estimating Time 113 * 39A Not Keeping Time 115 * 40A A Long Bus Trip 117 Non-Routine Problems 119 4. Implementation of Non-Routine Problems 120 5. Teaching Non-Routine Problems 123 6. An Additional Resource for Solving Non-Routine Problems 125 7. Guiding and Supporting Learning – Non-Routine Problems 126 * 1B Silas’s Cap Collection 127 * 2B Building Numbers With Base-Ten Blocks 131 * 3B Number Sentences 133 * 4B Climbing Up the Well 135 * 5B Putting Away the Balls 137 * 6B Putting the Cake Orders Back in Sequence 139 * 7B Collecting Fossils 143 * 8B Building a Pyramid Model 146 * 9B Geese Flying South 149 * 10B How Many Marbles in Each Container? 152 * 11B Who Scored That Touchdown? 154 * 12B Considering Careers 156 * 13B The Archery Tournament 159 * 14B When Do the Children Rule the Schools? 162 * 15B Six Pieces of Blue Shoelace Licorice 164 * 16B Feeding the Pets 167 * 17B Going to the Soccer Tournament 171 * 18B Wendy’s Ice Cream Cart 174 * 19B Running Laps Around the Track 177 * 20B Making Stickers 179 * 21B Building a Light-Rail Transit System 181 * 22B Perimeter of A Rectangle 183 * 23B Leftover Pizza 185 * 24B Number Puzzler 187 * 25B Placing Numbers on a Number Line 190 * 26B How Many Cans of Paint? 192 * 27B Numbers on Lockers 194 * 28B Pizza for Charity 196 * 29B Megan Makes a Math Mobile 198 * 30B How Old Will Chico Be? 200 * 31B Saving for a Bike 202 * 32B Seven Layer Salad 205 * 33B Half of Half of Half... 207 * 34B How Many Girls and Boys? 209 * 35B In What Order Are the Shapes? 211 * 36B Hexagon Sandboxes 213 * 37B Singles and Doubles Badminton 215 * 38B Building a Patio 217 * 39B Spruce Up the School Day 219 * 40B Toothpick Houses 221 Extended Exploration Problems 223 8. Implementation of Extended Exploration Problems 224 9. Teaching Extended Exploration Problems 224 10. Guiding and Supporting Learning – Extended Exploration Problems 228 * 1C Number Architect 229 * 2C A Game That Lasts a Lifetime? 233 * 3C Curling Challenge 235 * 4C Designing a Garden 238 * 5C Turkey Fundraiser 241 * 6C What Is Wrong With the Clock? 245 * 7C Pattern Block Designs 248 * 8C Planning a Car Trip 251 * 9C Running Laps 254 * 10C Planning a Feast 256 Appendix 261 References 268 About the Authors 269
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