Variable Parts : A New Perspective on Proportional Relationships and Linear Functions / Sybilla Beckmann and Andrew Izs̀k.
We present a mathematical analysis that distinguishes two quantitative perspectives on ratios and proportional relationships: Multiple Batches and Variable Parts. We argue that (a) existing research on proportional relationships has addressed Multiple Batches but has largely overlooked Variable Part...
Saved in:
| Online Access: |
Full Text (via ERIC) |
|---|---|
| Main Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
Distributed by ERIC Clearinghouse,
2014.
|
| Subjects: |
MARC
| LEADER | 00000nam a22000002u 4500 | ||
|---|---|---|---|
| 001 | b11020110 | ||
| 003 | CoU | ||
| 005 | 20200512140040.8 | ||
| 006 | m o d f | ||
| 007 | cr ||||||||||| | ||
| 008 | 140101s2014 xx |||| o ||| s eng d | ||
| 035 | |a (ERIC)ed599738 | ||
| 035 | |a (MvI) 5C000000578174 | ||
| 040 | |a ericd |b eng |c MvI |d MvI | ||
| 099 | |a ED599738 | ||
| 100 | 1 | |a Beckmann, Sybilla. | |
| 245 | 1 | 0 | |a Variable Parts : |b A New Perspective on Proportional Relationships and Linear Functions / |c Sybilla Beckmann and Andrew Izs̀k. |
| 264 | 1 | |a [Place of publication not identified] : |b Distributed by ERIC Clearinghouse, |c 2014. | |
| 300 | |a 1 online resource (8 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 500 | |a Availability: North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/. |5 ericd. | ||
| 500 | |a Abstractor: As Provided. |5 ericd. | ||
| 516 | |a Text (Speeches/Meeting Papers) | ||
| 516 | |a Text (Reports, Evaluative) | ||
| 520 | |a We present a mathematical analysis that distinguishes two quantitative perspectives on ratios and proportional relationships: Multiple Batches and Variable Parts. We argue that (a) existing research on proportional relationships has addressed Multiple Batches but has largely overlooked Variable Parts, (b) Multiple Batches makes the co-variation aspect of proportional relationships more explicit, while Variable Parts makes the fixed multiplicative relationship between two quantities more explicit, (c) the distinction between Multiple Batches and Variable Parts is orthogonal to the within-measure-space versus between-measure-space ratio distinction, and (d) Variable Parts affords promising new approaches for addressing linear relationships. [For the complete proceedings, see ED597799.] | ||
| 524 | |a North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, Jul 15-20, 2014). |2 ericd. | ||
| 650 | 0 | 7 | |a Mathematical Concepts. |2 ericd. |
| 650 | 0 | 7 | |a Mathematics. |2 ericd. |
| 650 | 0 | 7 | |a Algebra. |2 ericd. |
| 700 | 1 | |a Izs̀k, Andrew, |e author. | |
| 856 | 4 | 0 | |u http://files.eric.ed.gov/fulltext/ED599738.pdf |z Full Text (via ERIC) |
| 907 | |a .b110201103 |b 05-21-20 |c 05-21-20 | ||
| 998 | |a web |b 05-21-20 |c f |d m |e - |f eng |g xx |h 0 |i 0 | ||
| 956 | |a ERIC | ||
| 999 | f | f | |i cbbef6fe-744e-5d04-ac09-ac03d84d59e6 |s 8c019301-bf6c-5439-ae01-5fe4d8fc00ab |