scholarly journals Mathematics Teacher and Curriculum Quality, 2005 and 2016

AERA Open ◽  
2019 ◽  
Vol 5 (4) ◽  
pp. 233285841988052
Author(s):  
Heather C. Hill ◽  
Virginia Lovison ◽  
Thomas Kelley-Kemple

Efforts to improve teachers’ knowledge and to change the nature of curriculum materials have dominated mathematics reforms since the late 1990s. In this article, we compared middle school teachers’ mathematical knowledge for teaching (MKT) and curriculum use between 2005 and 2016 to assess progress toward these key goals. We found teachers’ MKT increased an amount equal to the average teacher in the 2005 sample improving five percentile points. However, No Child Left Behind’s attempts to encourage mathematics degrees in this population do not explain this increase, as teachers were less likely in 2016 than in 2005 to possess such a degree. Instead, our data are consistent with schools hiring more knowledgeable individuals during the Great Recession. Between surveys, the strength of the association between teacher MKT and student demographic characteristics decreased, although equity gaps still persist. Finally, our data suggest a modest movement toward standards-based curriculum materials over this period.

2007 ◽  
Vol 29 (2) ◽  
pp. 95-114 ◽  
Author(s):  
Heather C. Hill

This article explores middle school teachers’ mathematical knowledge for teaching and the relationship between such knowledge and teachers’subject matter preparation, certification type, teaching experience, and their students’ poverty status. The author administered multiple-choice measures to a nationally representative sample of teachers and found that those with more mathematical course work, a subject-specific certification, and high school teaching experience tended to possess higher levels of teaching-specific mathematical knowledge. However, teachers with strong mathematical knowledge for teaching are, like those with full credentials and preparation, distributed unequally across the population of U.S. students. Specifically, more affluent students are more likely to encounter more knowledgeable teachers. The author discusses the implications of this for current U.S. policies aimed at improving teacher quality.


2016 ◽  
Vol 15 (2) ◽  
pp. 197-215
Author(s):  
EMILSE GÓMEZ-TORRES ◽  
CARMEN BATANERO ◽  
CARMEN DÍAZ ◽  
JOSÉ MIGUEL CONTRERAS

In this paper we describe the development of a questionnaire designed to assess the probability content knowledge of prospective primary school teachers. Three components of mathematical knowledge for teaching and three different meanings of probability (classical, frequentist and subjective) are considered. The questionnaire content is based on curricular guidelines and primary school textbooks in Spain. The items were selected and adapted, after expert judgment, from previous research. The responses of 157 prospective primary school teachers were used to analyze the psychometric properties of the questionnaire and to provide information about various aspects of participants’ probability content knowledge. First published November 2016 at Statistics Education Research Journal Archives


1995 ◽  
Vol 1 (4) ◽  
pp. 282-288 ◽  
Author(s):  
James A. Middleton ◽  
Marja van den Heuvel-Panhuizen

The middle grades offer unique challenges to the mathematics teacher, especially in this time of transition from traditional to reformed curricula and methods. The range and conceptual quality of mathematical knowledge that students have as they enter grades 5 and 6 vary greatly. Many students have been accelerated through textbooks, resulting in a high degree of proficiency at arithmetic computation but sometimes with little conceptual understanding of the underlying mathematics. Many other students will enter the middle grades with only rudimentary understanding of addition and subtraction. This disparity of skills and understanding creates a difficult dilemma for middle school teachers. Should they review the arithmetic that students have already experienced, or should they forge ahead to a higher level of more difficult mathematics? This decision need not be perceived as a dichotomy. Methods exist for exploring higher-order mathematical topics conceptually that allow understanding by students of varying knowledge levels whatever their base knowledge may be.


2014 ◽  
Vol 3 (1) ◽  
pp. 58-75 ◽  
Author(s):  
Denise A. Spangler ◽  
Allyson Hallman-Thrasher

We describe an activity designed to help preservice elementary school teachers develop mathematical knowledge for teaching in the domain of facilitating mathematical discussions. The activity involved preservice teachers writing task dialogues, imaginary conversations between a child and teacher about a problem-solving task, in which they practice responding to correct, partially correct, and incorrect student responses. Preservice teachers then implemented these same tasks with children in a field experience setting. We describe 2 different iterations of the activity and field experience in detail as well as the insights into preservice teacher knowledge each iteration afforded us.


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