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The eClock - Learn all about time - Interactive Clock Digital On/Off Words On/Off Roman/Arabic How high can you count on your fingers? (Spoiler: much higher than 10) - James Tanton Many cultures throughout history have used versions of positional notation to represent numbers, in various bases too. The Sumerians of around 3000 BCE and the Babylonians of 2000 BCE used a base-60 notational system, some cultures followed a base-20 notational system, others base 12, and modern western culture uses base 10. These base numbers might well have been chosen from counting on fingers and toes (with base 60 being a combination of base-10 and base-12 thinking). Many historical units of weights and measures come in groups of twelve (there are twelve inches in a foot, for instance) most likely because it is easier to work with common fractions – halves, thirds, quarters – when one measures in groups of twelve. Modern western culture has vestiges of base-12 thinking in it: there are special names for the numbers 1 through 12 before moving onto a systematic naming system for 13 onwards, and people still talk of dozens and grosses.

Number Frames Overview Number Frames help students structure numbers to five, ten, twenty, and one hundred. Students use the frames to count, represent, compare, and compute with numbers in a particular range. Math In The City Welcome to Mathematics in the City Mathematics in the City (MitC) is a national center of research, curriculum development, and professional development for K-8 mathematics education. MitC is a part of The City College of New York, and, being aligned with the College, we aim for access and excellence for “the children of the whole people” of New York City and the nation. Our mission is to support powerful mathematics instruction. We guide teachers towards developing their classrooms into mathematics workshops in which learners are engaged in inquiry, worthwhile mathematical tasks, proving their thinking, and communicating it to their peer.