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Tekin Sitrava, Reyhan – European Journal of Educational Research, 2018
The aim of this qualitative case study is to investigate prospective mathematics teachers' subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the…
Descriptors: Foreign Countries, Case Studies, Preservice Teachers, Mathematics Teachers
Isik, Cemalettin – Higher Education Studies, 2018
In this study, it was aimed to analyze the structure of prospective middle school mathematics teachers' problems posed with regard to given symbolic representation including addition and subtraction operations with integers. The study conducted with 96 last grade elementary school mathematics teacher candidates studying in Faculty of Education of…
Descriptors: Case Studies, Semi Structured Interviews, Preservice Teachers, Mathematics Teachers
Devin's Construction of a Multiplicative Double Counting Scheme: Dual Anticipation of Start and Stop
Risley, Rachael; Hodkowski, Nicola M.; Tzur, Ron – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this case study with Devin (pseudonym), which was part of a larger, constructivist teaching experiment with students identified as having learning difficulties in mathematics, we examine how a fourth grader constructed a dual anticipation involved in monitoring when to start and when to stop the simultaneous count of composite units (numbers…
Descriptors: Case Studies, Constructivism (Learning), Teaching Methods, Grade 4
Lee, Jae Ki; Licwinko, Susan; Taylor-Buckner, Nicole – Journal of Mathematics Education at Teachers College, 2013
PEMDAS is a mnemonic device to memorize the order in which to calculate an expression that contains more than one operation. However, students frequently make calculation errors with expressions, which have either multiplication and division or addition and subtraction next to each other. This article explores the mathematical reasoning of the…
Descriptors: Case Studies, Mathematics, Mathematics Instruction, Mathematical Logic
Peer reviewedSchliemann, Analucia Dias; And Others – Journal of Mathematical Behavior, 1993
A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)
Descriptors: Addition, Algorithms, Case Studies, Computation

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