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Full-Text Articles in Education

How A Master Teacher Uses Questioning Within A Mathematical Discourse Community, Omel Angel Contreras Jul 2006

How A Master Teacher Uses Questioning Within A Mathematical Discourse Community, Omel Angel Contreras

Theses and Dissertations

Recent scholarly work in mathematics education has included a focus on learning mathematics with understanding (Hiebert & Carpenter, 1992; Hiebert et al., 1997; Fennema & Romberg, 1999; National Council of Teachers of Mathematics, 2000). Hiebert et al. (1997) discussed two processes that they suggested increase understanding and that are central to this study: reflection and communication. Learning mathematics with understanding requires that the students create a deeper knowledge of mathematics through reflection and communication. The environment in which such learning can take place must include patterns of behavior, known as social norms that promote deeper thinking. When the social norms …


Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing Jul 2006

Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing

Theses and Dissertations

I inquire about second graders' capabilities of developing solution strategies and the original variety of strategies they bring forth while solving a combination problem. Based on analysis of the data presented in this paper, students developed five different general strategies. After analyzing what the second grade students were capable of developing, we can conclude that young children are capable of developing powerful systematic strategies grounded in their personal experiences. This research shows that even when the teacher does not foster personal agency, children will still exercise agency. The social interactions in the classroom helped students learn to propose mathematical ideas, …


The Nature And Frequency Of Mathematical Discussion During Lesson Study That Implemented The Cmi Framework, Andrew Ray Glaze Jul 2006

The Nature And Frequency Of Mathematical Discussion During Lesson Study That Implemented The Cmi Framework, Andrew Ray Glaze

Theses and Dissertations

During a year-long professional development, the faculty members at an elementary school received instruction on mathematics and how to use the Comprehensive Mathematics Instruction framework. The instruction and the framework were consistent with the standards suggested by the National Council of Teacher of Mathematics (2000). This thesis analyzes the mathematical language used by three fifth-grade teachers who participated in lesson study to create a research lesson based upon the Comprehensive Mathematics Instruction framework.


Determining High School Geometry Students' Geometric Understanding Using Van Hiele Levels: Is There A Difference Between Standards-Based Curriculum Students And Nonstandards-Based Curriculum Students?, Rebekah Loraine Genz Jul 2006

Determining High School Geometry Students' Geometric Understanding Using Van Hiele Levels: Is There A Difference Between Standards-Based Curriculum Students And Nonstandards-Based Curriculum Students?, Rebekah Loraine Genz

Theses and Dissertations

Research has found that students are not adequately prepared to understand the concepts of geometry, as they are presented in a high school geometry course (e.g. Burger and Shaughnessy (1986), Usiskin (1982), van Hiele (1986)). Curricula based on the National Council of Teachers of Mathematics (NCTM) Standards (1989, 2000) have been developed and introduced into the middle grades to improve learning and concept development in mathematics. Research done by Rey, Reys, Lappan and Holliday (2003) showed that Standards-based curricula improve students' mathematical understanding and performance on standardized math exams. Using van Hiele levels, this study examines 20 ninth-grade students' levels …


What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses?, Matthew M. Webb Mar 2006

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses?, Matthew M. Webb

Theses and Dissertations

Lesson study is a form of professional development for teachers adopted in recent years from Japan. Introducing lesson study to U.S. teachers and researchers has been the focus of most of the literature on this subject. Much of the literature outlines how lesson study works and describes its essential features. One of the features of lesson study is anticipating student responses, also known as anticipating student thinking. Anticipating student responses is passingly described in lesson study literature. This research was conducted to understand what it means to anticipate student responses for preservice mathematics teachers in a lesson study group. Lesson …