Reducing intrinsic cognitive load in percentage change problems: The equation approach

被引:12
作者
Bing Hiong Ngu [1 ]
Phan, Huy P. [1 ]
Hong, Kian Sam [2 ]
Usop, Hasbee [2 ]
机构
[1] Univ New England, Armidale, NSW 2351, Australia
[2] Univ Malaysia Sarawak, Samarahan, Sarawak, Malaysia
关键词
Intrinsic cognitive load; Mathematics education; Percentage change problems; Problem solving; WORKED EXAMPLES; INSTRUCTIONAL EXAMPLES; EXPERTISE; MATHEMATICS; EFFICIENCY; KNOWLEDGE; MODEL;
D O I
10.1016/j.lindif.2016.08.029
中图分类号
G44 [教育心理学];
学科分类号
0402 ; 040202 ;
摘要
We compared the equation approach and unitary approach in helping students (n = 59) learn percentage change problems from a cognitive load perspective. The equation approach emphasized a two-part learning process. Part 1 revised prior knowledge of percentage quantity; Part 2 integrated the percentage quantity and the original amount in an equation for solution. Central to the unitary approach is the concept of unit percentage (1%). The unitary approach would expect to incur high element interactivity because of the intrinsic nature of its solution steps, and the need to search and integrate quantity and percentage in order to act as a point of reference for calculating the unit percentage. Test results and the instructional efficiency measure favored the equation approach. It was suggested that the equation approach reduced the intrinsic cognitive load associated with percentage change problems via sequencing and prior knowledge. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:81 / 90
页数:10
相关论文
共 50 条
[1]  
Atkinson RK, 2000, REV EDUC RES, V70, P181, DOI 10.2307/1170661
[2]   Impact of reducing intrinsic cognitive load on learning in a mathematical domain [J].
Ayres, P .
APPLIED COGNITIVE PSYCHOLOGY, 2006, 20 (03) :287-298
[3]   Taming a beast of burden - On some issues with the conceptualisation and operationalisation of cognitive load [J].
Beckmann, Jens F. .
LEARNING AND INSTRUCTION, 2010, 20 (03) :250-264
[4]   Interactions between the isolated-interactive elements effect and levels of learner expertise: experimental evidence from an accountancy class [J].
Blayney, Paul ;
Kalyuga, Slava ;
Sweller, John .
INSTRUCTIONAL SCIENCE, 2010, 38 (03) :277-287
[5]   Learning and understanding science instructional material [J].
Carlson, R ;
Chandler, P ;
Sweller, J .
JOURNAL OF EDUCATIONAL PSYCHOLOGY, 2003, 95 (03) :629-640
[6]   USING WORKED EXAMPLES AS AN INSTRUCTIONAL EXAMPLES AS AN INSTRUCTIONAL SUPPORT IN THE ALGEBRA CLASSROOM [J].
CARROLL, WM .
JOURNAL OF EDUCATIONAL PSYCHOLOGY, 1994, 86 (03) :360-367
[7]   The impact of sequencing and prior knowledge on learning mathematics through spreadsheet applications [J].
Clarke, Tracey ;
Ayres, Paul ;
Sweller, John .
ETR&D-EDUCATIONAL TECHNOLOGY RESEARCH AND DEVELOPMENT, 2005, 53 (03) :15-24
[8]   EFFECTS OF SCHEMA ACQUISITION AND RULE AUTOMATION ON MATHEMATICAL PROBLEM-SOLVING TRANSFER [J].
COOPER, G ;
SWELLER, J .
JOURNAL OF EDUCATIONAL PSYCHOLOGY, 1987, 79 (04) :347-362
[9]   Designing instructional examples to reduce intrinsic cognitive load: Molar versus modular presentation of solution procedures [J].
Gerjets, P ;
Scheiter, K ;
Catrambone, R .
INSTRUCTIONAL SCIENCE, 2004, 32 (1-2) :33-58
[10]   Improving students' proportional thinking using schema-based instruction [J].
Jitendra, Asha K. ;
Star, Jon R. ;
Rodriguez, Michael ;
Lindell, Mary ;
Someki, Fumio .
LEARNING AND INSTRUCTION, 2011, 21 (06) :731-745