Full Description
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, 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.
Contents
Introduction to Hands-On Problem Solving, Grade 2 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 5
What Is Problem Solving? 5
Best Practices in Teaching Problem Solving 5
Routine Problems 5
Non-Routine Problems 6
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
Reproducible to Guide and Support Learning - Problem Solving 10
Mathematics Correlation 11
Grade 2 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
Implementation of Routine Problems 26
Problem Types 26
Teaching Routine Problems 27
1A Sarah Builds an Inuksuk 32
2A Miranda Bakes Pumpkin Pies to Sell at the Farmers' Market 34
3A Coins in Your Pocket 36
4A Lance Paints His Face 38
5A Remembrance Day Poppies 40
6A Hannah Puts Stamps on Greeting Cards 43
7A Tom Collects Hockey Pucks 45
8A Cinnamon Hearts on Valentine's Day Cookies 47
9A Colin Collects Stickers 49
10A Collections of 100 Items 51
1A Serena Collects Coins 54
12A Choir Practice at Recess 56
13A Touring the Bluenose II 58
14A How Much Water? 60
15A Washing the Dishes 62
16A Pennies in a Boat 65
17A How Many Hockey Sticks? 67
18A Titanium or Aluminum? 69
19A Jill Colours a Caterpillar 71
20A Tommy's Tuba Pattern 73
21A A Pattern With Nickels 75
22A How Many Seals? 78
23A Ring-Toss Pattern 80
24A Celebrating Manitoba Day 82
25A Getting in Shape 84
26A Walter the Whooping Crane 86
27A A Picnic Problem 88
28A Measuring Fish 90
29A Building a Stool 92
30A Drawing Pentagons 94
31A Sorting Road Signs 96
32A Counting Balls 99
33A Surveying Classmates About Spiders 101
34A Counting Teeth Lost 103
35A Making Wind Devices 106
36A How Many Donuts? 109
37A Favourite Birthday Cake 111
38A Rebecca's Family Recycling 113
39A Green Eggs and Ham 115
40A Dogs at Stanley's Party 119
Non-Routine Problems 123
Implementation of Non-Routine Problems 124
Teaching Non-Routine Problems 127
An Additional Resource for Solving Non-Routine Problems 129
Reproducible to Guide and Support Learning - Non-Routine Problems 130
1B Collecting Plastic Bags 131
2B Sharing Gummy Bears 133
3B Coins in Cups 135
4B Number of the Day 138
5B Do Aliens Play Hopscotch? 141
6B Making a Birthday-Cake Glyph 144
7B A Venn Diagram for Hockey 150
8B A Heart Pattern 153
9B Evaporating Water 155
10B Which Stickers Are Stars? 157
11B Soccer Target Hit 160
12B How Old Are Vihn's Grandparents? 163
13B What Number Am I? 166
14B Figuring Out the Cost of Stickers 168
15B Side-by-Side at the Movies 170
16B Buying Snacks 172
17B Number Sums Puzzler 1 176
18B Which Coins Do Amber and Julia Have? 179
19B How Old Are Lizzie and Lana? 182
20B Ricardo's Baseball Jersey 184
21B Choosing a New Mouth Guard 186
22B A Golden Boy Model 190
23B Jeremiah and Chase Go Ice Fishing 192
24B Stone Soup 194
25B Coins in Mason's Pocket 196
26B Number Sums Puzzler 2 198
27B Numbers on Model Race Cars 200
28B Monkeys Stealing Caps 202
29B Collections of 100 Things 204
30B Five Coins in the Piggybank 207
31B Months Mystery 209
32B Diorama Challenge 212
33B Mystery of the Missing Numbers 214
34B Favourite Cupcakes 216
35B Number Riddle 218
36B Making a Funny Monster 220
37B Counting Hairy Spider Legs 226
38B Getting Mortimer to Sleep 229
39B Pouring Liquids Down a Ramp 231 4
0B Number Sums Puzzler 3 233
Extended Exploration Problems 235
Implementation of Extended Exploration Problems 236
Teaching Extended Exploration Problems 236
Reproducible to Guide and Support Learning - Extended Explorations 240
1C The Terry Fox Run 241
2C Visit to a Local Food Bank 244
3C An Invitation to Moira's Birthday 246
4C What's in a Name? 248
5C LEGO Graphing 250
6C Quilt Pattern 253
7C Makeup Mess 258
8C A Glooscap Legend 263
9C 10 Is the Most Amazing Number! 267
10C A Gallery Walk of Masterpieces 270
Appendix 279
References 290
About the Authors 292
