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Huang, WenYen – Mathematics Teacher: Learning and Teaching PK-12, 2022
The study of mathematics is often described as the science of patterns (Resnik 1981), and the cognitive tasks involving the search, recognition, and assessment of patterns are fundamental to learning mathematics. Patterning activities lead students to a better understanding of dependent relations among representations, create a transparent way for…
Descriptors: Mathematics Education, Mathematics Skills, Pattern Recognition, Mathematics Activities
White, Dorothy Y. – Mathematics Teacher: Learning and Teaching PK-12, 2022
Every student has mathematical strengths beyond knowing basic facts, solving problems quickly, or showing work clearly. In this article, the author presents Smiles as an "on-ramp" task that supports students working together by unveiling and leveraging mathematical strengths. Nielsen describes on-ramp mathematics tasks as scaffolds that…
Descriptors: Mathematics Skills, Cooperative Learning, Problem Solving, Puzzles
Quinn, Robert J.; Waddell, Glenn, Jr.; Gallaher, Daniel – Australian Mathematics Education Journal, 2021
The authors present mathematics problems related to the packaging of sporting goods which they used to motivate and engage their students in the USA. This article reports on a series of questions/problems that were explored in groups by the students in a college class designed for sophomores, as part of a program to prepare them to be teachers at…
Descriptors: Undergraduate Students, Mathematical Applications, Mathematics Skills, Problem Based Learning
Zwanch, Karen; Broome, Bridget – Mathematics Teacher: Learning and Teaching PK-12, 2023
Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…
Descriptors: Mathematics Education, Elementary School Mathematics, Grade 6, Mathematics Instruction
Geist, Kamile; Geist, Eugene A.; Kuznik, Kathleen – Young Children, 2012
Research on music and music therapy suggests that math and music are related in the brain from very early in life. Musical elements such as steady beat, rhythm, melody, and tempo possess inherent mathematical principles such as spatial properties, sequencing, counting, patterning, and one-to-one correspondence. With new understanding about the…
Descriptors: Music Education, Music Therapy, Teaching Methods, Brain
Thompson, Ian – Mathematics Teaching, 2003
In a recent edition of "Mathematics Teaching" Midge Pasternack argued the case for the use of the 0-99 square with young children rather than the ubiquitous 1-100 square. In this article, the author would like to take the opportunity to mount a defence in favour of the much maligned 1-100 square. His main criticism of the 0-99 square (apart from…
Descriptors: Geometric Concepts, Mathematics Instruction, Young Children, Numeracy
Lee, Lesley; Freiman, Viktor – Mathematics Teaching in the Middle School, 2006
Pattern work is now undertaken as early as kindergarten, and both researchers and teachers have discovered that children engage in pattern work with great enthusiasm and innate ability. Having some flexibility in pattern perception and selecting mathematically useful patterns require some training, although there is nothing particularly algebraic…
Descriptors: Algebra, Mathematics Skills, Mathematical Concepts, Mathematics Education
Cwikla, Julie; Patterson, Marcelle Dessommes – Mathematics Teaching in the Middle School, 2006
This article describes an innovative lesson that uses the biography "Barbara McClintock: Alone in her Field" (Heiligman, 1994) to integrate genetics, literature, and mathematics as a context for students to investigate patterns on Indian corn. This two-day lesson requires students to estimate, collect data, identify and describe patterns,…
Descriptors: Probability, Graphs, Genetics, Mathematics Instruction