Young children's amazing math : a guide to understanding and supporting early learning / Herbert P. Ginsburg ; [foreword by Deborah Stipek].
| Author/creator | Ginsburg, Herbert author. |
| Other author | Stipek, Deborah J., 1950- writer of foreword. |
| Format | Book |
| Publication | New York, NY : Teachers College Press, [2025] |
| Copyright Date | 2025 |
| Description | xix, 195 pages : illustrations (some color) ; 22 cm |
| Subjects |
| Contents | Foreword / Deborah Stipek -- Introduction : Shock, delight, and more : young children's amazing math -- The initial shock -- Surprising observations -- The goals of this book -- The approach of this book -- Meet Cassie -- Are Cassie and the other children typical? -- You can do it! -- Part I. Basic concepts of number -- The world of the playground : math is all around us -- Playing with math -- What can you do? -- Everything and nothing : Cassie and the wipes -- Wiping out the wipes -- Development and math -- What can you do? -- From largest to smallest : Cassie and the cups -- Cassie plays with nesting cups -- Development and math -- What can you do? -- Taller, taller, and taller still : Lizbeth and the sticks -- Lizbeth and the staircase -- Development and math -- What can you do? -- A growing pattern : Ethan and the number staircase -- No counting? -- Development and math -- What can you do? -- Same number? Jonathan and the hats -- Dolls and hats -- Development and math -- What can you do? -- A detective story about math and morality : Ethan the rock star -- Some rocks -- Development and math -- What can you do? -- Part II. Counting : words and things -- Cassie has a mind of her own : flying pacifiers -- Mom, fetch -- What did mom do and what can you do? -- Learning to count out loud : Cassie really likes three and four -- Cassie and the wipes -- Development and math -- What can you do? -- Extending knowledge of counting words : candles and steps -- Counting candles -- Counting jumps -- Development and math -- What can you do? -- Learning to subitize : raspberries, cubes, and coins -- Raspberries -- Cubes -- Development and math -- What can you do? -- Can you subitize? -- Cassie tells a counting joke: ha, ha -- Funny orange sections -- Development and math -- What can you do? -- Does Cassie measure? Thirteen ounces of milk -- Cassie and the missing milk -- Development and math -- What can you do? -- A meaningful mistake : Cassie counts the house -- Counting to the teens -- Development and math -- What can you do? -- Learning the letters : Cassie counts high -- What does Cassie really know about those letters? -- Development and math -- What can you do? -- The detective asks : why doesn't Cassie count? -- Why? -- Development and math -- What can you do? -- What's after thirty-nine? Anna (and Cassie) count -- Anna counts -- Cassie makes a brief appearance! -- Development and math -- What can you do? -- My perfect English counting system (PECS) -- The math -- What can you do? -- Part III. Addition and subtraction -- The math of eating : Cassie's macaroni and cheerios -- Cassie and the macaroni -- Development and math -- Cheerios! -- Development and math -- What can you do? -- Cassie's subtraction action : cars and grapes -- Car play -- Development and math -- Eating grapes -- Development and math -- What can you do? -- Numerical subtraction : (grapes again) -- Subtracting with numbers -- Development and math -- What can you do? -- Abstract subtraction : number cake -- Cake subtraction -- Development and math -- What can you do? -- (1+2=3) : Cassie explains her letters -- Background : number size -- Abstract addition -- Development and math -- What can you do? -- Four fews : does Cassie multiply? -- "...a few, few, few, few" -- Development and math -- What can you do? -- The story of a wrong answer : Rachel adds imaginary carrots -- Rachel, the rabbit, and the squirrel -- Development and math -- What can you do? -- The answer must be : logic and a teachable moment -- Rachel subtracts -- A teachable moment -- Back to Cassie -- Development and math -- What can you do? -- Part IV. Shape and space -- Up and down math : Jacob bounces -- Jacob meets the Duke of York -- Development and math -- What can you do? -- Cassie dances math : the hokey pokey! -- Let's do the hokey pokey -- Development and math -- What can you do? -- The orange tower : Cassie the builder -- Oranges -- Development and math -- What can you do? -- Construction in progress! Cassie's castle -- Cassie constructs a castle -- Development and math -- What can you do? -- Learning about shapes : Cassie the puzzler -- What does Cassie need to do? -- What does she do? -- Development and math -- What can you do? -- A trapezoid? A rhombus? Cassie and the shape sorter -- Cassie plays with the shape sorter -- Development and math -- What can you do? -- Part V. Singing and reading -- Ee, ee, ee : Cassie sings math -- Cassie sings -- Development and math -- What can you do? -- Cassie's doo song : an algebraic pattern? -- Doo -- Development and math -- What can you do? -- The math of reading : little bunny foo foo -- Cassie reads -- Development and math -- What can you do? -- Everyday storybook math : Goldilocks and the three bears -- The emotional foundation -- Goldilocks and the three bears : the story and the math in it -- What can you do? -- What reading can be : room for bear -- Mom and Joey read -- Insights into reading -- What can you do? -- Part VI. Carefulness, joy, and homework -- Be careful with the beads : Cassie is a big girl -- Cassie and the beads -- Development and math -- What can you do? -- Cassie talks to herself : what is she thinking? -- Building a tower -- Development and math -- What can you do? -- Learning joy : Cassie's colors -- Cassie and the colors -- Development and math -- What can you do? -- Hello, school : Cassie's kindergarten homework -- Does 5 = 0? -- The logic of the homework -- What can you do? -- Part VII. Conclusions -- A guide to promoting young children's math learning -- Splendid little mathematicians -- What does the individual child know? -- Promoting children's learning -- Everyday math meets formal math |
| Abstract | "Explore young children's remarkable everyday math that can lay the groundwork for formal math education in kindergarten and beyond. Readers will learn how math is embedded in children's everyday lives, how daily routines contribute to the development of important math concepts, and what adults can do to foster the joy of early math learning. Ginsburg describes the development of children's informal ideas about number, shape, space, pattern, and measurement, and offers many specific activities designed to promote learning. This dynamic resource provides over 75 short videos showing individual children, from 9 months to 6 years, engaging in spontaneous everyday math activities or talking with an adult about their thinking. Fascinating and often funny, the videos help adults understand the child's everyday math so they can support meaningful math education. Readers and watchers of the videos are encouraged to think deeply about young children's everyday math and how they can foster it at home, in early learning programs, and at school. Everyday math can be fun for both children and adults. Enjoy it with the children!" -- Back cover. |
| General note | Book designed to be used in conjunction with video aids, accessible via QR codes. |
| Bibliography note | Includes bibliographical references (pages 190-191) and index. |
| Genre/form | Case studies. |
| Genre/form | Etudes de cas. |
| LCCN | 2024039467 |
| ISBN | 9780807786529 |
| ISBN | 9780807786512 (paper ; acid-free paper) |
| ISBN | 0807786519 (paper ; acid-free paper) |
| ISBN | 0807786527 (hardcover ; acid-free paper) |
| ISBN | (ebook) |
| ISBN | (ebook) |