Literature DB >> 22707760

EQUATIONS AND THE EQUAL SIGN IN ELEMENTARY MATHEMATICS TEXTBOOKS.

Sarah R Powell1.   

Abstract

To promote a relational understanding of the equal sign (=), students may require exposure to a variety of equation types (i.e., 3 = 8 - 5; 2 + 3 = 1 + 4; 9 - 3 = 6). The purpose of this study was to evaluate 8 elementary curricula for degree of exposure to equation types. Across 6 elementary grade levels, curricula were coded for the number of standard and nonstandard equation types appearing within the student textbook. Except in 1 of the 8 curricula, students typically do not receive exposure to nonstandard equation types that promote a relational understanding of the equal sign. An analysis of the accompanying teacher manual for each textbook suggests that students receive minimal instruction on relational definitions of the equal sign, with the majority of instruction occurring in grades K-2 and minimal instruction provided in grades 3-5.

Entities:  

Year:  2012        PMID: 22707760      PMCID: PMC3374577          DOI: 10.1086/665009

Source DB:  PubMed          Journal:  Elem Sch J        ISSN: 0013-5984


  5 in total

1.  Contribution of Equal-Sign Instruction beyond Word-Problem Tutoring for Third-Grade Students with Mathematics Difficulty.

Authors:  Sarah R Powell; Lynn S Fuchs
Journal:  J Educ Psychol       Date:  2010-05-01

2.  Why won't you change your mind? Knowledge of operational patterns hinders learning and performance on equations.

Authors:  Nicole M McNeil; Martha W Alibali
Journal:  Child Dev       Date:  2005 Jul-Aug

3.  In pursuit of knowledge: comparing self-explanations, concepts, and procedures as pedagogical tools.

Authors:  Percival Matthews; Bethany Rittle-Johnson
Journal:  J Exp Child Psychol       Date:  2008-10-19

4.  Limitations to teaching children 2 + 2 = 4: typical arithmetic problems can hinder learning of mathematical equivalence.

Authors:  Nicole M McNeil
Journal:  Child Dev       Date:  2008 Sep-Oct

5.  How children change their minds: strategy change can be gradual or abrupt.

Authors:  M W Alibali
Journal:  Dev Psychol       Date:  1999-01
  5 in total
  7 in total

1.  Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge.

Authors:  Lynn S Fuchs; Donald L Compton; Douglas Fuchs; Sarah R Powell; Robin F Schumacher; Carol L Hamlett; Emily Vernier; Jessica M Namkung; Rose K Vukovic
Journal:  Dev Psychol       Date:  2012-03-12

2.  Early Numerical Competencies and Students with Mathematics Difficulty.

Authors:  Sarah R Powell; Lynn S Fuchs
Journal:  Focus Except Child       Date:  2012-01

3.  Effects of a Multitier Support System on Calculation, Word Problem, and Prealgebraic Performance Among At-Risk Learners.

Authors:  Sarah R Powell; Lynn S Fuchs; Paul T Cirino; Douglas Fuchs; Donald L Compton; Paul C Changas
Journal:  Except Child       Date:  2015-07

4.  The role of cognitive processes, foundational math skill, and calculation accuracy and fluency in word-problem solving versus prealgebraic knowledge.

Authors:  Lynn S Fuchs; Jennifer K Gilbert; Sarah R Powell; Paul T Cirino; Douglas Fuchs; Carol L Hamlett; Pamela M Seethaler; Tammy D Tolar
Journal:  Dev Psychol       Date:  2016-10-27

5.  Does Calculation or Word-Problem Instruction Provide A Stronger Route to Pre-Algebraic Knowledge?

Authors:  Lynn S Fuchs; Sarah R Powell; Paul T Cirino; Robin F Schumacher; Sarah Marrin; Carol L Hamlett; Douglas Fuchs; Donald L Compton; Paul C Changas
Journal:  J Educ Psychol       Date:  2014-11

6.  Children's confidence using incorrect strategies on mathematical equivalence problems.

Authors:  Amanda Grenell; Lindsey J Nelson; Bailey Gardner; Emily R Fyfe
Journal:  Cogn Dev       Date:  2022-02-26

7.  Keys to the Gate? Equal Sign Knowledge at Second Grade Predicts Fourth-Grade Algebra Competence.

Authors:  Percival G Matthews; Lynn S Fuchs
Journal:  Child Dev       Date:  2018-09-17
  7 in total

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