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Base ten blocks

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17: 135:. They are used by teachers to model concepts, as well as by students to reinforce their own understanding. Physically manipulating objects is an important technique used in learning basic mathematic principles, particularly at the early stages of cognitive development. Studies have shown that the use of base ten blocks, as with other 102:
had earlier introduced a similar manipulative, the "golden beads", which were assembled into the same shapes as base ten blocks. Dienes popularized the idea starting in the 1950s, recommending blocks for several number bases
115:(MAB), so students could concretely compare different number bases and learn about the decimal place-value system as one arbitrary choice among many possibilities. Multibase blocks found support in the 309:
Hatfield, Mary M. (1994)."Use of manipulative devices: Elementary school cooperating. " School Science and Mathematics 94.6 (1994): 303–309.
71:. The three-dimensional blocks are made of a solid material such as plastic or wood and generally come in four sizes, each representing a 360: 337: 182: 177:
Van de Walle, John (2008). Elementary and Middle School Mathematics: Teaching Developmentally, p. 191. Pearson Education Inc. USA.
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movement of the 1960s. Today, base ten blocks are widespread while blocks for other bases are rarely found.
128: 108: 158: 53: 226: 40: 178: 330: 91:(thousands place). There are also computer programs available that simulate base ten blocks. 344: 290: 259: 248: 99: 32: 194: 148: 95: 204: 132: 249: 354: 104: 331:
Exploring Ones, Tens, and Hundreds with Base Ten Blocks - A Lesson for Third Graders
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Progression of Multiplication: Arrays, Area Models & Standard Algorithm
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instruction, especially with topics that students struggle with such as
61: 279:"The history of base-ten-blocks: Why and who made base-ten-blocks" 15: 67:
system as a more concrete and direct representation than written
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Burton, Grace M. (1984). "Teaching the Most Basic Basic".
333:" by Maryann Wickett and Marilyn Burns, fall 2005 139:, decreases as students move into higher grades. 262:An Experimental Study of Mathematics Learning 8: 294: 283:Mediterranean Journal of Social Sciences 94:Base ten blocks were first described by 170: 75:used as a place in the decimal system: 277:Kim, Rina; Albert, Lillie R. (2014). 39: 7: 14: 127:Base ten blocks are popular in 123:Use in mathematics instruction 1: 48:used by students to practice 338:Base 10 Block Teaching Ideas 199:Children Discover Arithmetic 258:Dienes, Zoltán Pál (1963). 113:multibase arithmetic blocks 377: 361:Mathematical manipulatives 296:10.5901/mjss.2014.v5n9p356 137:mathematical manipulatives 129:primary-school mathematics 46:mathematical manipulative 251:Building Up Mathematics 207:, with Margaret Stern.) 219:The Arithmetic Teacher 60:in the context of the 21: 266:. London: Hutchinson. 255:. London: Hutchinson. 205:Revised edition, 1971 159:Mathematics education 87:(hundreds place) and 69:Hindu–Arabic numerals 54:elementary arithmetic 19: 347:", Make Math Moments 20:Dienes blocks in use 340:", Susan C. Anthony 201:. Harper & Row. 245:Dienes, Zoltán Pál 41:[ˈdijɛnɛʃ] 31:after popularizer 22: 368: 310: 307: 301: 300: 298: 274: 268: 267: 265: 256: 254: 241: 235: 234: 214: 208: 202: 195:Stern, Catherine 191: 185: 175: 111:, etc.), called 100:Maria Montessori 98:in 1949, though 43: 38: 27:, also known as 376: 375: 371: 370: 369: 367: 366: 365: 351: 350: 319: 314: 313: 308: 304: 276: 275: 271: 257: 243: 242: 238: 216: 215: 211: 193: 192: 188: 176: 172: 167: 149:Cuisenaire rods 145: 125: 96:Catherine Stern 36: 25:Base ten blocks 12: 11: 5: 374: 372: 364: 363: 353: 352: 349: 348: 341: 334: 327: 318: 317:External links 315: 312: 311: 302: 289:(9): 356–365. 269: 236: 209: 186: 169: 168: 166: 163: 162: 161: 156: 151: 144: 141: 133:multiplication 124: 121: 83:(tens place), 79:(ones place), 13: 10: 9: 6: 4: 3: 2: 373: 362: 359: 358: 356: 346: 342: 339: 335: 332: 328: 325: 321: 320: 316: 306: 303: 297: 292: 288: 284: 280: 273: 270: 264: 263: 253: 252: 246: 240: 237: 232: 228: 224: 220: 213: 210: 206: 200: 196: 190: 187: 184: 183:0-205-57352-5 180: 174: 171: 164: 160: 157: 155: 152: 150: 147: 146: 142: 140: 138: 134: 130: 122: 120: 118: 114: 110: 106: 101: 97: 92: 90: 86: 82: 78: 74: 70: 66: 63: 59: 55: 51: 47: 42: 34: 33:Zoltán Dienes 30: 29:Dienes blocks 26: 18: 305: 286: 282: 272: 261: 250: 239: 225:(1): 20–25. 222: 218: 212: 198: 189: 173: 154:Number sense 126: 112: 93: 88: 84: 80: 76: 73:power of ten 58:number sense 56:and develop 28: 24: 23: 324:Base Blocks 65:place-value 165:References 37:Hungarian: 44:), are a 355:Category 326:" - NLVM 247:(1960). 231:41193944 197:(1949). 143:See also 117:New Math 50:counting 62:decimal 229:  181:  89:blocks 227:JSTOR 109:three 85:flats 81:longs 77:units 179:ISBN 52:and 291:doi 105:two 357:: 285:. 281:. 223:32 221:. 107:, 343:" 336:" 329:" 322:" 299:. 293:: 287:5 233:. 203:( 103:( 35:(

Index


Zoltán Dienes
[ˈdijɛnɛʃ]
mathematical manipulative
counting
elementary arithmetic
number sense
decimal
place-value
Hindu–Arabic numerals
power of ten
Catherine Stern
Maria Montessori
two
three
New Math
primary-school mathematics
multiplication
mathematical manipulatives
Cuisenaire rods
Number sense
Mathematics education
ISBN
0-205-57352-5
Stern, Catherine
Revised edition, 1971
JSTOR
41193944
Dienes, Zoltán Pál
Building Up Mathematics

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