Developing Multiplicative Thinking and Algebraic Reasoning by Solving a Practical Problem: The Skyscraper Growing Pattern Problem

Autor/inn/en	Hourigan, Mairéad; Leavy, Aisling
Titel	Developing Multiplicative Thinking and Algebraic Reasoning by Solving a Practical Problem: The Skyscraper Growing Pattern Problem
Quelle	In: Australian Primary Mathematics Classroom, 27 (2022) 4, S.35-40 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1326-0286
Schlagwörter	Multiplication; Thinking Skills; Algebra; Mathematics Education; Problem Solving; Elementary School Students; Grade 3; Foreign Countries; Mathematics Activities; Ireland + Suchen Sie Ihr Suchwort? Multiplikation; Denkfähigkeit; Mathematische Bildung; Problemlösen; School year 03; 3. Schuljahr; Schuljahr 03; Ausland; Irland
Abstract	This paper explores Year 3 Irish students' problem-solving strategies when responding to a skyscraper growing pattern problem. Students' strategies reveal their understandings of multiplicative thinking, pattern, and algebraic reasoning. The version of the growing pattern lesson was that a 'teaching through problem solving' approach was taken, where no explicit strategies were modelled by the teacher at the start of the problem-solving process (Hourigan & Leavy 2022). Instead, once the teacher introduced the problem, these Year 3 students solved a range of mini-challenges using their own invented strategies. During the planning phase, the teachers had predicted various ways students may see and understand the characteristics of the growing pattern (Friel & Markworth 2009; Markworth 2012). This paper explores the modifications made to the problem context to promote engagement, the range of approaches adopted by two different classes of Year 3 students in response to the problem challenges, as well as the role of the teacher in guiding students to understand the problem and in orchestrating the sharing of student strategies. (As Provided).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). Tel: +61-8-8363-0288; e-mail: office@aamt.edu.au; Web site: https://primarystandards.aamt.edu.au/Journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01