Early Mathematical Thinking

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10 videos in this playlist

A Clothespin for Every Side – Math at 21 Months - A 21-month-old child creates two equal sets
In this video, a 21-month-old child finds satisfaction in fitting wooden clothespins over the edge of a square plastic container. Making separate objects fit together and stay together has universal…
Too Big - Young boys compare the sizes of objects and containers
In this video clip, Ben and Henry enjoy determining what toys fit inside a large tube stood on one end. The toddlers are engaging in mathematical thinking by estimating, or…
Pajama Count - Counting small tiles - Working on a method that yields the same total each time
Lincoln and Golden, two preschool age children, at school on pajama day, are working to arrange and count tiles on the floor. Golden uses many strategies to help him count…
Sorting by Size - Two children decide what should be counted as the same class
In this video clip, Kaia and Lincoln agree to begin sorting a collection of donated materials by separating out the glass pebbles, which the children refer to as marbles. The…
Measuring Tape - Measuring height with a tape - Using the length of a segment of tape vs. the indicated inches on the tape
In this video, Lane and Molly are working together, using a measuring tape to measure their height. The children use world knowledge to guide their discussion about how to measure…
The Sound of Slope and Speed - Rolling a ball down an incline with chimes at equal intervals - Discovering the relation between angle, speed, and rhythm
The pre-kindergarten children in this video clip are involved in a long-term investigation, using ramps and chimes on a large magnetic wall. A group of children who previously investigated sound…
Counting – Stuck in the 20’s - The difficulty of counting beyond twenty - Dealing with the problems of skip counting, double counting, and the number word sequence
Ethan and Eli, almost five years old, take turns counting approximately 40 seeds. If we watch the details of their actions, we see a number of cases where they give…
Math – Combining Sets - Two boys combine sets of five blocks - What they know and what they will eventually learn
Watch these two boys count small sets of blocks and then combine them to double the count. Sammy, in green, counts "Three, four, five, I got five." Notice the emphasis…
A String Too Short - The challenge of thinking about both ends of a length of string
Two five-year-old boys work to make a length of string taut, from the table to the floor, so imaginary animals can safely slide down into the water. At 00:30, Henry…
Unequal Weights Can Balance - When unequal weights balance on a tilting board - Figuring out that the pivot point on a curved fulcrum can change
Physics can surprise us when a condition exists that we do not consider. In this video a child balances log cross-sections on a board that rests on a large curved…

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