KnE Social Sciences

ISSN: 2518-668X

The latest conference proceedings on humanities, arts and social sciences.

Algebraic Reasoning in Marzano's Taxonomy Cognitive System

Published date: Sep 28 2022

Journal Title: KnE Social Sciences

Issue title: 4th International Conference on Education and Social Science Research (ICESRE)

Pages: 96–105

DOI: 10.18502/kss.v7i14.11957

Authors:

Mochamad Abdul Basirabdulbasir@unissula.ac.idSemarang State University, Indonesia

S.B. WaluyaSemarang State University, Indonesia

Dwijanto .Semarang State University, Indonesia

Isnarto .Semarang State University, Indonesia

Abstract:

This article explores the relationship between algebraic reasoning and the cognitive system of Marzano’s taxonomy. The reasoning is known as a thought process that connects premises to conclusions. The ability to solve problems related to learning and how to state generalizations about numbers, quantities, relations, and functions is part of algebraic reasoning. There are four indicators of algebraic reasoning ability – Knowledge Retrieval, Connecting Mathematical Representations, Pattern Recognition, and Reasoned Solving. Algebraic reasoning abilities can increase awareness of the knowledge process, help in constructing or using knowledge, and develop one’s self-confidence while engaged in tasks through assignments to Marzano’s taxonomy. Marzano’s taxonomic cognitive system not only explains how a person makes a decision to engage in a new task but also explains how information is processed post decision-making. Thus, algebraic reasoning is related to the cognitive system in Marzano’s taxonomy.

Keywords: algebraic reasoning, cognitive system, Marzano’s taxonomy

References:

[1] National Council of Teachers of Mathematics, Reasoning and sense making. The Mathematics Teacher. 2016;110(2);1-6. https://doi.org/10.5951/mathteacher.110.2.0119

[2] Khemlani SS. Stevens’ handbook of experimental psychology and cognitive neuroscience. Wiley; New Jersey – USA; 2018. https://doi.org/10.1002/ 9781119170174.epcn311

[3] Kaput JJ, Blanton ML. Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education. 2005;36(5):412-446. DOI

[4] Thomas MOJ, Tall D. The long-term cognitive development of symbolic algebra. Paper presented at: The Future of the Teaching and Learning of Algebra: Proceedings of the 12th ICMI Study Conference; 9-14 December 2001; Melbourne - Australia

[5] Lee Y, Capraro MM, Capraro RM, Bicer A. A meta-analysis: Improvement of students’ algebraic reasoning through metacognitive training. International Education Studies. 2018;11(10):42-49. https://doi.org/10.5539/ies.v11 n10p42

[6] Irvine J. Marzano’s new taxonomy as a framework for investigating student affect. Journal of Instructional Pedagogies. 2020;24:1–31.

[7] Rasyidi DA, Winarso W. The proportion of cognitive aspects of question in mathematics textbook based on Marzano’s taxonomy: An Indonesian case in implementing new curriculum. Eduma: Mathematics Education Learning and Teaching. 2020;9(2):79-89. https://doi.org/10.24235/eduma.v9i2.7374

[8] Marzano RJ, Kendall JS. Praise for the second edition of the new taxonomy of educational objectives. Corwin Press; USA; 2007.

[9] Marzano RJ, Kendall JS. Designing & assessing educational objectives: Applying the new taxonomy. Designing and assessing educational objectives. Corwin Press USA; 2008.

[10] Glassmeyer D, Edwards B. How middle grade teachers think about algebraic reasoning. Mathematics Teacher Education and Development. 2016;18(2):92–106.

[11] Kieran C. Algebraic thinking in the early grades: What is it. The Mathematics Educator. 2004;8(1):139–51.

[12] Cañadas MC, Brizuela BM, Blanton M. Second graders articulating ideas about linear functional relationships. Journal of Mathematical Behavior. 2016;41:87–103. https://doi.org/10.1016/j.jmathb.2015.10.004

[13] Uygun T, Güner P. Representation of algebraic reasoning in sets through argumentation. International Journal of Contemporary Educational Research. 2019;6(2); 215-229. https://doi.org/10.33200/ijcer.557781

[14] Blanton ML, Kaput JJ. Functional thinking as a route into algebra in the elementary grades. Early Algebraization. Advances in Mathematics Education. Springer, Berlin; 2011. https://doi.org/10.1007/978-3-642-17735-4_2

[15] Pertegal-Felices ML. Didactics of mathematics profile of engineering students: A case study in a multimedia engineering degree. Education Sciences. 2020;10(2);1-8. https://doi.org/ 10.3390/educsci10020033

[16] Pourdavood BR, McCarthy K, McCafferty T. The impact of mental computation on children’s mathematical communication, problem solving, reasoning, and algebraic thinking. Athens Journal of Education. 2020;7(3):241–54. https://doi.org/10.30958/aje.7-3-1

[17] Otten M, van den Heuvel￿Panhuizen M, Veldhuis M, Boom J, Heinze A. Are physical experiences with the balance model beneficial for students’ algebraic reasoning? An evaluation of two learning environments for linear equations. Education Sciences. 2020;10(6):1–23. https://doi.org/10.3390/educsci10060163

Download
HTML
Cite
Share
statistics

599 Abstract Views

298 PDF Downloads