Yong S. Colen , Jung Colen

DOI: Vol.24(No.1) 1-27, 2021

For elementary school children, learning the standard multiplication algorithm with accuracy, clarity, consistency, and efficiency is a daunting task. Nonetheless, what should be our expectation in procedural fluency, for example, in finding the product of 25 and 37 among fifth grade students? Collectively, has the mathematics education community emphasized the value of conceptual understanding to the detriment of procedural fluency? In addition to examining these questions, we survey multiplication algorithms throughout history and in textbooks and reconceptualize the standard multiplication algorithm by using a new tool called the Multiplication Aid Template.

multiplication, multiplication algorithm, standard multiplication algorithm, procedural fluency, procedural understanding, Multiplication Aid Template

Eunhye Cho , Lillie R. Albert , Sunghwan Hwang

DOI: Vol.24(No.1) 29-47, 2021

The purpose of this study was to examine what factors affect the construction of preservice white mathematics teachers’ racial identities and the relationship between their racial identities and Culturally Relevant Teaching (CRT) practices. We examined five white female preservice teachers who enrolled in an elementary mathematics methods course at a private university in the US. We collected data consisting of lesson plans, semi-structured interviews, and reflection of a taught lesson in the 2018 fall term and examined them using qualitative research methods. We found that preservice teachers’ racial identities were affected by their backgrounds, K-12 school experiences, and practicum school environment. We also found a relationship between teachers’ sensitivity to racial issues and their endorsement of CRT strategies. The findings also revealed that the relationships were mediated by practicum school contexts. Based on the findings, we provided practical implications for the teacher education programs.

racial identity, culturally relevant teaching, preservice mathematics teacher, practicum

Yejin Lee , Mangoo Park

DOI: Vol.24(No.1) 49-67, 2021

In this study, the researchers analyzed the 2015 revised 3rd~6th grade Korean mathematics textbooks from the aspects of social justice in mathematics education. For this study, the researchers constructed a textbook analysis framework for social justice subjects, which categorized by social issues, economy education, democratic education, personality education, safety education, environmental education, and career education. As a result, the 2015 revised elementary mathematics textbooks were reflected the subject matter of social justice in the order of social issues, economic education and democratic education, personality education and environmental education, safety education and career education. Also, the subject of social justice appears in all 3rd~6th grade mathematics textbooks, but it is not explicitly dealt with by combining it with mathematical content. The researchers suggested that mathematics lessons should be developed including social justice issues aligned with elementary mathematics contents.

2015 revised math textbook, social justice, mathematics classes, elementary schools