Early Childhood Education Commons^™

Sliding Into An Equitable Lesson, Kelley E. Buchheister 6872059, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

A kindergarten teacher uses Gutierrez's four dimensions of equity to design and facilitate geometry instruction.

Equitable instruction is reflected in how students are positioned in the classroom and how their identities evolve through purposeful interactions that value and recognize the intellectual capacity of each student (Gutiérrez 2013; Lemons-Smith 2008). These integral interactions occur when teachers and students exchange problem-solving strategies, discuss relations among various mathematical representations, and listen to the viewpoints of others (NCTM 2000; 2014).

Seeing Mathematics Through Different Eyes: An Equitable Approach To Use With Prospective Teachers, Christa Jackson, Cynthia E. Taylor, Kelley Buchheister

Department of Child, Youth, and Family Studies: Faculty Publications

Teacher educators need to prepare prospective teachers by encouraging them to critically examine their current beliefs about the teaching and learning of mathematics while also providing opportunities for prospective teachers to develop an equity-centered orientation. Attending to these practices in teacher preparation programs may help prospective teachers observe actions that occur in classrooms and determine effective strategies that provide the opportunity to enhance all students’ access to high-quality mathematics instruction. As mathematics teacher educators, we must recognize what prospective teachers attend to as they direct their attention to various classroom events and how they relate the events to broader principles …

Early Childhood Teachers’ Pedagogical Reasoning About How Children Learn During Language And Literacy Instruction, Rachel E. Schachter

Department of Child, Youth, and Family Studies: Faculty Publications

The knowledge that teachers hold about children’s learning is important to teachers’ practice. Few studies have examined how early childhood teachers use such knowledge during moment-to-moment instruction for language and literacy learning. This study employed a phenomenological approach to understand the knowledge that eight early childhood teachers used to inform their pedagogical reasoning during language and literacy activities. Stimulated recall interviews about practice were conducted with the prekindergarten teachers. Results indicated that the teachers used multiple sources of knowledge to inform their pedagogical reasoning that included: conceptions about how children learn; knowledge about specific children and the learning goals for …

Multiple Perspectives On Cognitive Development: Radical Constructivism, Cognitive Constructivism, Sociocultural Theory, And Critical Theory, Meir Muller, Kelley E. Buchheister, Gloria Boutte

Department of Child, Youth, and Family Studies: Faculty Publications

This multi-vocal article represents the work of three teacher educators. In conjunction with Glasersfeld’s (1996) description of Radical Constructivism, we agree that any theory “cannot claim to be anything but one approach to the age-old problem of knowing. Only its application in contexts where a theory of knowing makes a difference can show whether or not it can be considered a viable approach.” (von Glasersfeld, 1996, p. 309). In this conceptual piece, we examined the relationship between Radical Constructivism and three distinct, yet sometimes overlapping, theories: 1) Cognitive Constructivism 2) Sociocultural Theory; and 3) Critical Theory. First, we discuss the …

Maths Games: A Universal Design Approach To Mathematical Reasoning, Kelley E. Buchheister, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

By incorporating math games into the classroom, through the principles of Universal Design teachers are able to address mathematical content, reasoning and problem solving, as well as tailoring games to address students' individual needs.

A Little Change Can Make A Big Difference, Kelley E. Buchheister

Department of Child, Youth, and Family Studies: Faculty Publications

The opportunity to teach mathematics through service learning projects provides a relevant and connected experience that encourages concept development and problem solving proficiency while also developing students’ feelings of generosity and altruism. In this article I describe a prior project that helped my students, many of whom struggled with mathematics, become engaged in mathematical thinking and reasoning. Additional specific connections are made toward extended projects surrounding current events, as well as state and national standards.

Integrating Universal Design And Response To Intervention In Methods Courses For General Education Mathematics Teachers, Kelley E. Buchheister, Christa Jackson, Cynthia Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that specifically address their needs. In this study, we describe the principles of Universal Design for Learning and Response to Intervention. More specifically, we discuss how one Mathematics Teacher Educator uses these frame works in her mathematics methods course to help prospective teachers become cognizant of early interventions and effective strategies that can be implemented to …

The Mathematical Development In Number And Operation Of Struggling First Graders, John Lannin, Delinda Van Garderen, Matthew J. Switzer, Kelley E. Buchheister, Tiffany Hill, Christa Jackson

Department of Child, Youth, and Family Studies: Faculty Publications

Number and operations serve as the “cornerstone” of the K-12 mathematics curriculum in many countries. Solving problems in the mathematical domains of algebra, geometry, measurement, and statistics is often closely connected to student knowledge of number and operation (Griffin, 2005). Although considerable knowledge exists regarding the development of number and operation for typically developing children, less is known about the development of children who struggle in mathematics. Moreover, children enter school with considerable differences in their understanding of number and operation. While most children, through exposure to various informal and formal tasks, develop a deeper understanding of number and operation, …