Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Erik S. Tillema"'
Autor:
Erik S. Tillema, Lori J. Burch
Publikováno v:
ZDM – Mathematics Education. 54:777-793
Publikováno v:
Cognition and Instruction. 40:351-384
Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students’ generalizing reve...
Publikováno v:
Mathematics Teacher: Learning and Teaching PK-12. 114:452-462
Use this approach to developing algebraic identities as a generalization of combinatorial and quantitative reasoning. Secondary school students reason about important ideas in the instructional sequence, and teachers consider newfound implications fo
Autor:
Erik S. Tillema
Publikováno v:
Mathematical Thinking and Learning. 22:23-55
Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11–12. The purposes of the interviews were to investigate how students solved arrangement p...
Autor:
Erik S. Tillema, Laurie Speranzo
Publikováno v:
Mathematics Teaching in the Middle School. 24:400-405
Specific teacher moves and lesson planning can facilitate student empowerment in the middle school classroom.
Autor:
Erik S. Tillema
Publikováno v:
The Journal of Mathematical Behavior. 52:1-20
Two hour-long interviews were conducted with each of 14 sixth-grade students. The purpose of the interviews was to investigate how students solved combinatorics problems, and represented their solutions as arrays. This paper reports on 11 of these st
Publikováno v:
The Journal of Mathematical Behavior. 59:100783
In this commentary, we make a case for the explicit inclusion of combinatorial topics in mathematics curricula, where it is currently essentially absent. We suggest ways in which researchers might inform the field’s understanding of combinatorics a
Autor:
Erik S. Tillema
Publikováno v:
The Journal of Mathematical Behavior. 36:51-72
This paper examines how three eighth grade students coordinated lower and higher dimensional units (e.g., composite units and pairs) in the context of constructing a formula for evaluating sums of consecutive whole numbers while solving combinatorics
Autor:
Erik S. Tillema
Publikováno v:
The Journal of Mathematical Behavior. 32:331-352
This article examines data from five teaching episodes with three eighth grade students who were participants in a 3-year constructivist teaching experiment. The five teaching episodes were a transition point in the teaching experiment: the students
Autor:
Erik S. Tillema
Publikováno v:
Mathematics Teaching in the Middle School. 17:472-478
Real-world situations involving layers of subtraction will help students in their future work with algebra.