Using Writing to Access Students' Schemata Knowledge for Algebraic Thinking

被引:12
|
作者
Steele, Diana [1 ]
机构
[1] Northern Illinois Univ, De Kalb, IL 60115 USA
关键词
D O I
10.1111/j.1949-8594.2005.tb18048.x
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
This study explored the use of writing to help students develop schemata knowledge for algebraic thinking. Eight seventh-grade pre-algebra students participated in a teaching experiment in which they solved algebraic problems related in mathematical structure. The problems involved contexts of growth and change and size and shape. Qualitative data analysis of students' writing indicated that students used all aspects of schemata knowledge-identification, planning, elaboration, and execution knowledge-to solve the algebraic problems. This article provides excerpts of students' writing and descriptions of ways they used these different aspects of schemata knowledge. The findings from this study support both the use of writing and the use of algebraic problems related in mathematical structure to help students develop tools they need to think algebraically.
引用
收藏
页码:142 / 154
页数:13
相关论文
共 50 条
  • [1] Teachers' Knowledge about Ninth Grade Students' Ways of Algebraic Thinking
    Bas, Sinem
    Erbas, Ayhan Kursat
    Cetinkaya, Bulent
    [J]. EGITIM VE BILIM-EDUCATION AND SCIENCE, 2011, 36 (159): : 41 - 55
  • [2] Seeds of algebraic thinking: a Knowledge in Pieces perspective on the development of algebraic thinking
    Levin, Mariana
    Walkoe, Janet
    [J]. ZDM-MATHEMATICS EDUCATION, 2022, 54 (06): : 1303 - 1314
  • [3] Seeds of algebraic thinking: a Knowledge in Pieces perspective on the development of algebraic thinking
    Mariana Levin
    Janet Walkoe
    [J]. ZDM – Mathematics Education, 2022, 54 : 1303 - 1314
  • [4] ALGEBRAIC THINKING OF PRIMARY STUDENTS
    Fritzlar, Torsten
    Karpinski-Siebold, Nadja
    [J]. PROCEEDINGS OF THE 35TH CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL. 2: DEVELOPING MATHEMATICAL THINKING, 2011, : 345 - 352
  • [5] Using Elm to Introduce Algebraic Thinking to K-8 Students
    d'Alves, Curtis
    Bouman, Tanya
    Schankula, Christopher W.
    Hogg, Jenell
    Noronha, Levin
    Horsman, Emily
    Siddiqui, Rumsha
    Anand, Christopher Kumar
    [J]. ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2018, (270): : 18 - 36
  • [6] Students' thinking and writing in the context of probability
    Johnson, TM
    Jones, GA
    Thornton, CA
    Langrall, CW
    Rous, A
    [J]. WRITTEN COMMUNICATION, 1998, 15 (02) : 203 - 229
  • [7] SYNTHESIS OF KNOWLEDGE ABOUT EARLY ALGEBRAIC THINKING
    Cuellar, Nathalie Silvia Anwandter
    Polotskaia, Elena
    Savard, Annie
    [J]. INTERNATIONAL SYMPOSIUM ELEMENTARY MATHEMATICS TEACHING: BROADENING EXPERIENCES IN ELEMENTARY SCHOOL MATHEMATICS, 2021, : 444 - 446
  • [8] Analysis of Students' Error in Algebraic Thinking Test
    Muthmainnah, M.
    Priatna, N.
    Priatna, B. A.
    [J]. INTERNATIONAL CONFERENCE ON MATHEMATICS AND SCIENCE EDUCATION (ICMSCE), 2017, 895
  • [9] IMPROVING STUDENTS' ALGEBRAIC THINKING: THE CASE OF TALIA
    Lim, Kien
    [J]. PME 31: PROCEEDINGS OF THE 31ST CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL 3, 2007, : 193 - 200
  • [10] ELEMENTARY FORMS OF ALGEBRAIC THINKING IN YOUNG STUDENTS
    Radford, Luis
    [J]. PME 34 BRAZIL: PROCEEDINGS OF THE 34TH CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL 4: MATHEMATICS IN DIFFERENT SETTINGS, 2010, : 73 - 80