Children's Quantitative Notion of Rational Number [electronic resource] / Ipke Wachsmuth and Others.
This study was undertaken to gain insights into children's understanding of rational numbers as quantities; that is, the extent to which they associate a size with a fraction like 2/3. Eight children in an experimental group in DeKalb, Illinois, chosen to reflect the range from low to high abil...
Saved in:
| Online Access: |
Full Text (via ERIC) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[S.l.] :
Distributed by ERIC Clearinghouse,
1983.
|
| Subjects: |
MARC
| LEADER | 00000cam a22000002u 4500 | ||
|---|---|---|---|
| 001 | b6450056 | ||
| 003 | CoU | ||
| 005 | 20080221101448.3 | ||
| 006 | m d f | ||
| 007 | cr un | ||
| 008 | 830101s1983 xx |||| ot ||| | eng d | ||
| 035 | |a (ERIC)ed229218 | ||
| 040 | |a ericd |c ericd |d MvI | ||
| 099 | |f ERIC DOC # |a ED229218 | ||
| 099 | |f ERIC DOC # |a ED229218 | ||
| 100 | 1 | |a Wachsmuth, Ipke. | |
| 245 | 1 | 0 | |a Children's Quantitative Notion of Rational Number |h [electronic resource] / |c Ipke Wachsmuth and Others. |
| 260 | |a [S.l.] : |b Distributed by ERIC Clearinghouse, |c 1983. | ||
| 300 | |a 43 p. | ||
| 500 | |a ERIC Document Number: ED229218. | ||
| 500 | |a Sponsoring Agency: National Science Foundation, Washington, DC. |5 ericd. | ||
| 500 | |a Contract Number: SED-81-12643. |5 ericd. | ||
| 500 | |a ERIC Note: Paper presented at the annual meeting of the American Educational Research Association (Montreal, Canada, April, 1983). |5 ericd. | ||
| 500 | |a Educational level discussed: Grade 5. | ||
| 500 | |a Educational level discussed: Intermediate Grades. | ||
| 520 | |a This study was undertaken to gain insights into children's understanding of rational numbers as quantities; that is, the extent to which they associate a size with a fraction like 2/3. Eight children in an experimental group in DeKalb, Illinois, chosen to reflect the range from low to high ability, were observed during 30 weeks of experimental instruction during grades 4 and 5. A classroom-sized group of 34 middle-ability children in grades 4 and 5 in Minneapolis simultaneously took part in the same teaching experiment, providing children with manipulative-oriented instruction. Seven interview assessments, each preceded by about 4 weeks of instruction, were videotaped with each DeKalb child and with eight Minneapolis children. Written tests were also given. Data from the three fifth-grade assessments are included in this report. The three tasks are described, and children's reactions are reported in detail. They had varying success on the tasks. It appeared that three knowledge structures are essential for the development of a quantitative understanding of rational number: estimation, fraction equivalence, and rational-number order. These structures appeared to develop somewhat independently, but need to be coordinated for success with rational number situations. (MNS) | ||
| 650 | 1 | 7 | |a Cognitive Processes. |2 ericd. |
| 650 | 0 | 7 | |a Educational Research. |2 ericd. |
| 650 | 1 | 7 | |a Elementary School Mathematics. |2 ericd. |
| 650 | 1 | 7 | |a Fractions. |2 ericd. |
| 650 | 0 | 7 | |a Grade 5. |2 ericd. |
| 650 | 0 | 7 | |a Intermediate Grades. |2 ericd. |
| 650 | 0 | 7 | |a Interviews. |2 ericd. |
| 650 | 0 | 7 | |a Manipulative Materials. |2 ericd. |
| 650 | 1 | 7 | |a Mathematics Instruction. |2 ericd. |
| 650 | 1 | 7 | |a Number Concepts. |2 ericd. |
| 650 | 1 | 7 | |a Rational Numbers. |2 ericd. |
| 856 | 4 | 0 | |u http://files.eric.ed.gov/fulltext/ED229218.pdf |z Full Text (via ERIC) |
| 907 | |a .b64500561 |b 07-06-22 |c 10-18-10 | ||
| 998 | |a web |b 10-23-12 |c f |d m |e - |f eng |g xx |h 0 |i 1 | ||
| 956 | |a ERIC | ||
| 999 | f | f | |i ef50b042-2ef4-5b45-98a4-0fc48581145b |s 6d7d8e91-1a55-572d-9036-67e10844d453 |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e ED229218 |h Other scheme |i web |n 1 |