Knowledge

Base ten blocks

Source 📝

28: 146:. 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 113:
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
126:(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 320:
Hatfield, Mary M. (1994)."Use of manipulative devices: Elementary school cooperating. " School Science and Mathematics 94.6 (1994): 303–309.
82:. The three-dimensional blocks are made of a solid material such as plastic or wood and generally come in four sizes, each representing a 371: 348: 193: 188:
Van de Walle, John (2008). Elementary and Middle School Mathematics: Teaching Developmentally, p. 191. Pearson Education Inc. USA.
79: 27: 147: 56: 334: 255: 130:
movement of the 1960s. Today, base ten blocks are widespread while blocks for other bases are rarely found.
139: 119: 169: 64: 237: 51: 189: 341: 102:(thousands place). There are also computer programs available that simulate base ten blocks. 355: 301: 270: 259: 110: 43: 205: 159: 106: 215: 143: 260: 365: 115: 342:
Exploring Ones, Tens, and Hundreds with Base Ten Blocks - A Lesson for Third Graders
164: 83: 68: 75: 306: 289: 271: 17: 356:
Progression of Multiplication: Arrays, Area Models & Standard Algorithm
127: 60: 241: 142:
instruction, especially with topics that students struggle with such as
72: 290:"The history of base-ten-blocks: Why and who made base-ten-blocks" 26: 78:
system as a more concrete and direct representation than written
228:
Burton, Grace M. (1984). "Teaching the Most Basic Basic".
344:" by Maryann Wickett and Marilyn Burns, fall 2005 150:, decreases as students move into higher grades. 273:An Experimental Study of Mathematics Learning 8: 305: 294:Mediterranean Journal of Social Sciences 105:Base ten blocks were first described by 181: 86:used as a place in the decimal system: 288:Kim, Rina; Albert, Lillie R. (2014). 50: 7: 25: 138:Base ten blocks are popular in 134:Use in mathematics instruction 1: 59:used by students to practice 349:Base 10 Block Teaching Ideas 210:Children Discover Arithmetic 269:Dienes, Zoltán Pál (1963). 124:multibase arithmetic blocks 388: 372:Mathematical manipulatives 307:10.5901/mjss.2014.v5n9p356 148:mathematical manipulatives 140:primary-school mathematics 57:mathematical manipulative 262:Building Up Mathematics 218:, with Margaret Stern.) 230:The Arithmetic Teacher 71:in the context of the 32: 277:. London: Hutchinson. 266:. London: Hutchinson. 216:Revised edition, 1971 170:Mathematics education 98:(hundreds place) and 80:Hindu–Arabic numerals 65:elementary arithmetic 30: 358:", Make Math Moments 31:Dienes blocks in use 351:", Susan C. Anthony 212:. Harper & Row. 256:Dienes, Zoltán Pál 52:[ˈdijɛnɛʃ] 42:after popularizer 33: 16:(Redirected from 379: 321: 318: 312: 311: 309: 285: 279: 278: 276: 267: 265: 252: 246: 245: 225: 219: 213: 206:Stern, Catherine 202: 196: 186: 122:, etc.), called 111:Maria Montessori 109:in 1949, though 54: 49: 38:, also known as 21: 387: 386: 382: 381: 380: 378: 377: 376: 362: 361: 330: 325: 324: 319: 315: 287: 286: 282: 268: 254: 253: 249: 227: 226: 222: 204: 203: 199: 187: 183: 178: 160:Cuisenaire rods 156: 136: 107:Catherine Stern 47: 36:Base ten blocks 23: 22: 15: 12: 11: 5: 385: 383: 375: 374: 364: 363: 360: 359: 352: 345: 338: 329: 328:External links 326: 323: 322: 313: 300:(9): 356–365. 280: 247: 220: 197: 180: 179: 177: 174: 173: 172: 167: 162: 155: 152: 144:multiplication 135: 132: 94:(tens place), 90:(ones place), 24: 14: 13: 10: 9: 6: 4: 3: 2: 384: 373: 370: 369: 367: 357: 353: 350: 346: 343: 339: 336: 332: 331: 327: 317: 314: 308: 303: 299: 295: 291: 284: 281: 275: 274: 264: 263: 257: 251: 248: 243: 239: 235: 231: 224: 221: 217: 211: 207: 201: 198: 195: 194:0-205-57352-5 191: 185: 182: 175: 171: 168: 166: 163: 161: 158: 157: 153: 151: 149: 145: 141: 133: 131: 129: 125: 121: 117: 112: 108: 103: 101: 97: 93: 89: 85: 81: 77: 74: 70: 66: 62: 58: 53: 45: 44:Zoltán Dienes 41: 40:Dienes blocks 37: 29: 19: 18:Dienes blocks 316: 297: 293: 283: 272: 261: 250: 236:(1): 20–25. 233: 229: 223: 209: 200: 184: 165:Number sense 137: 123: 104: 99: 95: 91: 87: 84:power of ten 69:number sense 67:and develop 39: 35: 34: 335:Base Blocks 76:place-value 176:References 48:Hungarian: 55:), are a 366:Category 337:" - NLVM 258:(1960). 242:41193944 208:(1949). 154:See also 128:New Math 61:counting 73:decimal 240:  192:  100:blocks 238:JSTOR 120:three 96:flats 92:longs 88:units 190:ISBN 63:and 302:doi 116:two 368:: 296:. 292:. 234:32 232:. 118:, 354:" 347:" 340:" 333:" 310:. 304:: 298:5 244:. 214:( 114:( 46:( 20:)

Index

Dienes blocks

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

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.