Mathematics Activities for Teaching and Learning

by Wheeler, Ed; Thompson Barnard, Jane

• ISBN13: 9780787295257
• ISBN10: 0787295256
• Edition: 11th
• Format: Paperback
• Copyright: 2002-09-01
• Publisher: Kendall Hunt Pub Co

Table of Contents

Critical Thinking and Problem Solving	1	(22)
Sequences of Geometric Objects	2	(1)
Sequences of Numbers	3	(1)
Describing the Pattern	4	(2)
Those Fascinating Numbers of Fibonacci	6	(2)
Draw a Picture	8	(1)
Guess, Test, and Revise	9	(2)
Make a Chart or Table	11	(1)
Try a Simpler Version: Look for a Pattern Counting the Diagonals of a Polygon	12	(2)
Use Reasoning	14	(1)
Work Backward	15	(2)
From Guess and Test to the Algebraic Model	17	(6)
Teaching Notes: A Summary	19	(1)
Resources	20	(3)
The Language of Logic	23	(8)
The Tower of Brahma	23	(2)
Toothpick Teasers	25	(1)
Preparing for Deduction	26	(1)
The Land of Truthtellers and Liars	27	(4)
Teaching Notes: A Summary	28	(2)
Resources	30	(1)
Sets, Relations, and Functions	31	(14)
Sorting and Classifying	32	(2)
Deliberating about Differences	34	(3)
Venn Diagrams and Attributes	37	(2)
Mysterious Missing Blocks	39	(1)
A Game: Label the Loop	40	(1)
Guess My Rule	41	(4)
Teaching Notes: A Summary	43	(1)
Resources	44	(1)
Whole Numbers and Numeration	45	(36)
Representing Numbers with Base Ten Pieces	46	(4)
Who Am I? (Number Sense and Place Value Concepts)	50	(1)
Roll to One Hundred/Roll to Zero	51	(1)
Subtraction Situations	52	(2)
The Difference Is	54	(1)
Make Four Flats	55	(1)
``Fair Trades'' and the Trading Game	56	(1)
Multiplication Matters (I)	57	(3)
Multiplication Matters (II)	60	(1)
Multiplication Matters (III)	61	(5)
Divvy Up - Fair Shares	66	(5)
Whole Number Operations with Cuisenaire® Rods	71	(2)
Value This	73	(1)
I Have . . . Who Has?	74	(7)
Teaching Notes: A Summary	75	(2)
Resources	77	(4)
The System of Integers and Elementary Number Theory	81	(28)
Adding with the Hot Air Balloon	82	(4)
Subtracting with the Hot Air Balloon	86	(2)
Multiplication with the Hot Air Balloon	88	(2)
Division with the Hot Air Balloon	90	(2)
Factors and Multiples	92	(1)
Even and Odd	93	(2)
Figurate Numbers	95	(4)
Prime and Composite Numbers	99	(2)
Greatest Common Factor and Least Common Multiple	101	(3)
Hundred Chart Patterns	104	(1)
Palindromes and Patterns	105	(4)
Teaching Notes: A Summary	106	(1)
Resources	107	(2)
Introduction to Rational Numbers	109	(40)
In the Beginning	110	(2)
Let's Be Discrete	112	(4)
Sneaky Names For One (and for other fractions)	116	(2)
Transparent Fractions	118	(3)
Ordering Fractions	121	(1)
Fractions with Pattern Blocks	122	(2)
Circle Fraction Wheel	124	(1)
Circle Three	125	(1)
Eight Is Enough	126	(1)
Strip It!	127	(2)
Mix It Up!	129	(2)
Readiness for Multiplying with Fractions	131	(1)
Multiplying with Fractions	132	(1)
Dividing with Fractions (I)	133	(1)
Dividing with Fractions (II)	134	(2)
Fractions with Cuisenaire® Rods	136	(2)
Writing Fractions	138	(1)
Fractions as Ratios	139	(1)
Multiplying Decimals	140	(9)
Teaching Notes: A Summary	143	(2)
Resources	145	(4)
From Rational Numbers to Real Numbers	149	(18)
Be a Square	150	(1)
Estimating Square Roots (I)	151	(2)
Estimating Square Roots (II)	153	(1)
Where Are Those Square Roots?	154	(3)
As American as Apple Pi	157	(2)
What Percent Is Shaded?	159	(3)
Percent: Discrete Model	162	(1)
Using a ``Percentometer''	163	(4)
Teaching Notes: A Summary	165	(1)
Resources	166	(1)
Consumer Mathematics	167	(10)
A Matter of Interest	167	(3)
From Geometric Sequences to Buying a Boat	170	(2)
From Present Value to Mortgages	172	(5)
Teaching Notes: A Summary	175	(1)
Resources	175	(2)
Introduction to Probability Theory	177	(16)
Assigning Probabilities	178	(2)
Finding a Uniform Sample Space	180	(1)
Roll a Pair of Dice	181	(2)
Is This Game Fair?	183	(2)
In the Bag!	185	(1)
A Simulation: Escape from the Castle of the Iron Knight	186	(1)
Dependent and Independent Events	187	(6)
Teaching Notes: A Summary	190	(1)
Resources	191	(2)
The Uses and Misuses of Statistics	193	(18)
Choose Your Color	194	(1)
How Sweet It Is: Doing Statistics with M&M's®	195	(4)
Trash Can Olympics	199	(1)
A Handful of Popcorn	200	(1)
What's a Cubit?	201	(2)
Home Run Heroics	203	(8)
Teaching Notes: A Summary	206	(3)
Resources	209	(2)
Informal Geometry	211	(42)
Analyzing Angles	212	(1)
Bend an Angle	213	(1)
Measuring Angles in Wedges and Half-Wedges	214	(2)
Making a Wedge/Half-Wedge Protractor	216	(2)
The Angles of a Triangle	218	(2)
Finding Symmetry Lines	220	(1)
Quadrilateral Quandary	221	(2)
Triangle Treasure I -- Making Shapes from Triangles	223	(1)
Problem Solving with Pentominoes	224	(3)
Tiling Patterns	227	(1)
Tantalizing Tangrams I -- Paper Folding	228	(2)
Tantalizing Tangrams II -- Making Shapes	230	(2)
Triangle Treasure II -- SuperTangrams™	232	(2)
Circle Folding	234	(3)
The Shape of Things	237	(2)
Problem Solving with Pattern Blocks	239	(2)
Geometry in the World Around Us	241	(1)
Motivating ``Inclusive'' Definitions	242	(5)
Making a Mark	247	(6)
Teaching Notes: A Summary	248	(1)
Resources	249	(4)
Measurement and the Metric System	253	(30)
Meter Measure	254	(2)
The Distance Around	256	(1)
Weighing In	257	(2)
Estimilliliteration	259	(1)
Is a Cup Really 8 Ounces?	260	(1)
Angles with Pattern Blocks	261	(2)
Developing the Concept of Area	263	(3)
Area of Right Triangles from Rectangles	266	(1)
Area -- Rectangle Wrap Around	267	(1)
Area of Plane Figures	268	(4)
Lengths on a Geoboard	272	(1)
Comparing Volumes	273	(2)
Tantalizing Tangrams III - Perimeter	275	(8)
Teaching Notes: A Summary	277	(3)
Resources	280	(3)
Transformations and Additional Topics in Geometry	283	(40)
A Developmental Approach to Symmetry and Transformations	284	(3)
Using Tracing Paper to Model Slides, Flips, and Turns	287	(3)
Looking at Reflections in a Mira®	290	(2)
Two Flips Make a What!? (Part I)	292	(2)
Two Flips Make a What!? (Part II)	294	(2)
Coordinates and Transformations	296	(3)
SAS or SSA?	299	(2)
Preparing for Pythagoras	301	(3)
A Stockbroker Looks at the Pythagorean Theorem	304	(1)
From the Pythagorean Theorem to the Distance Formula	305	(2)
Constructing Regular 4-, 8-, 16-, ...,2n -Gons	307	(1)
Bisecting with a Mira®	308	(3)
Exploring with Medians, Altitudes, and Perpendicular Bisectors	311	(2)
To Tessellate or Not ... That Is the Question	313	(3)
Tessellation Treats	316	(2)
Fragments of Fractals	318	(5)
Teaching Notes: A Summary	320	(1)
Resources	321	(2)
Algebra, Geometry, and Graph Theory	323
Slope on a Geoboard	324
Translations and the Graphing Calculator	327
Reflections and the Graphing Calculator	328
The ``Biggest'' Rectangle	329
Teaching Notes: A Summary	331
Resources	331
Appendix
Video Resource List
Principles and Standards for School Mathematics