This paper summarizes and analyzes Kaminski and Sloutsky's (2020) study on the use and effectiveness of colorful, contextualized, student-made materials in elementary mathematics instruction. The study surveyed practicing U.S. elementary teachers and conducted two experiments comparing student-made pizza models with simple pre-made circles for teaching fractions to first graders. Findings indicate that rich, contextualized representations can hinder initial learning and transfer of mathematical concepts. The paper evaluates the study's validity and reliability, offers a critical perspective on its limitations, and proposes practical curriculum applications — including sequencing generic manipulatives before introducing colorful, student-created materials — to improve fraction instruction in early elementary classrooms.
Art can play an important role in the teaching of math to young learners by providing visual and hands-on experiences that enhance understanding and engagement. Using art in math instruction can help students make connections between mathematical concepts and real-world applications, making math more meaningful and relevant to them. One way art can be used in math instruction is through the use of manipulatives (D'Angelo & Iliev, 2012). For example, students can use colorful and creative materials such as pattern blocks, geoboards, and base ten blocks to explore concepts such as geometry, fractions, and place value. These manipulatives allow students to physically manipulate and explore mathematical concepts, which can help them develop a deeper understanding of those concepts (Bujak et al., 2013).
This paper summarizes, analyzes, and discusses the application of the study "The Use and Effectiveness of Colorful, Contextualized, Student-Made Material for Elementary Mathematics Instruction" by Kaminski and Sloutsky (2020). The study provides valuable insights into the use and effectiveness of math-and-art activities in the classroom.
The article "The Use and Effectiveness of Colorful, Contextualized, Student-Made Material for Elementary Mathematics Instruction" by Kaminski and Sloutsky (2020) presents the results of a survey of practicing elementary school teachers in the United States, as well as two experiments examining the effectiveness of math-and-art activities on children's ability to acquire basic fraction knowledge. The survey results confirm that many U.S. teachers use math-and-art activities and are often inspired by informal sources such as Pinterest and YouTube. However, the findings of the two experiments suggest that rich, contextualized representations — including those made by the student — can hinder students' learning and transfer of mathematical concepts.
The two experiments compared colorful, student-constructed material (paper pizzas) with simple, pre-made material (monochromatic paper circles) in an instructional activity on fractions. The study found that students who used the pre-made circles scored higher than those who used the student-made pizzas on pre-instruction tests of basic fraction knowledge, immediate tests of learning, and delayed tests of transfer. The second experiment tested students' ability to spontaneously write fractions to describe proportions of pizzas and circles. Students who answered generic circle questions first were markedly more accurate than those who answered pizza questions first.
The validity of the study is supported by the clear research problem and the use of appropriate methods to collect and analyze data. The use of a survey of practicing elementary school teachers and two experiments involving students provided a good sample size, and the results were consistent with the research question. The study also demonstrates good reliability, as it used consistent methods across both experiments and the results were replicated.
However, it should be noted that the study is limited to first-grade students, and more research is needed to examine the effect of math-and-art activities on students of different grade levels and abilities. Additionally, the results of this study can be applied in a school-based or educational context by considering the use of simple, generic, pre-made material in initial instruction, and reserving the use of colorful, contextualized representations for later in the learning process.
"Personal evaluation and call for broader research"
"Applying findings to classroom sequencing strategies"
"APA citations for all sources used"
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