Mathematics Teaching-Research Journal (MTRJ) on line:

The editorial team of the Mathematics Teaching Research Journal on line informs with great sadness about passing away of one of its founding editors, VRUNDA PRABHU 1961- 2013. Her creative spirit will always be with us.

Message to Mathematics Teacher-Researchers of the World;

Colleagues Teacher-Researchers of Mathematics;

Our profession, Mathematics Teaching-Research is standing in front of an unusual responsibility/opportunity to impact mathematics teaching and learning in US and possibly, in the World through the introduction of the Common Core State Standards(CCSM) in Mathematics in 2014 in the nation. Common Core Standards in Mathematics represent an unusual integration of research, curriculum development and teaching practice. The aim of this integration is to provide tools with the help of which mathematics teachers could successfully address successes, challenges and needs of every student in the class while fulfill the dream of “Mathematics for all”.

Whenever there is an integration of research and teaching, the framework of teaching-research is generally most straightforward. Indeed, the success of CCSS in Mathematics is conditioned on understanding of two mutually connected constructs, that of a Learning Trajectory (research construct) and that of Adaptive Instruction (teaching construct) together with the relationship between the two. The relationship between the two turns out to be standard Teaching-Research NYCity model’s relationship that on one hand involves the application of research to classroom teaching, and on the other hand, it is motivated by the research needed for successful development of the teaching “Mathematics for All.”

Analysis of the requirements of the adaptive instruction for the success of CCSS approach show its closeness with the standard teaching-research classroom activity: “For that [success] to happen, teachers are going to have to find ways to attend more closely and regularly to each of their students during instruction to determine where they are in their progress toward meeting the standards, and the kinds of problems they might be having along the way. Then teachers must use that information to decide what to do to help each student continue to progress, to provide students with feedback, and help them overcome their particular problems to get back on a path toward success. This is what is known as adaptive instruction and it is what practice must look like in a standards-based system.” Consortium of Public Research in Education, CPRE (Daro et al. 2011).

Every of these steps of adaptive instruction is in the “tool box” of a teacher-researcher whose aim is to improve student learning (…). Moreover, the same report continues:

“Teachers must receive extensive training in mathematics education research on the mathematics concepts that they teach so that they can better understand the evidence in student work (from OGAP-like probes or their mathematics program) and its implications for instruction. They need training and ongoing support to help capitalize on their mathematics program’s materials, or supplement them as evidence suggests and help make research based instructional decisions.”

The words above outline the scope of the transformation of teachers‘ pedagogy from the standard one to one based on research and evidence. In other words, what is required for the success of CCSS in Mathematics is the transformation of teachers into teacher-researchers on the national scale.

And that is, colleagues, our opportunity to transform teaching on a large scale.
Are we prepared to do it, to assume this responsibility?


October 2013
Volume 6 N 3

List of Content

Wu Zhipeng
The Creation of Intelligent and Wise Classes in High School Mathematics Teaching
The Creation of Intelligent and Wise Classes in High School Mathematics Teaching PowerPoint Presentation

Tong Qilin
Analyzing the Literacy That Excellent Mathematics Teachers Should Have According to Several Cases
Analyzing the Literacy That Excellent Mathematics Teachers Should Have According to Several Cases PowerPoint Presentation

Lynn Columba, Robin Hojoski, Joy Polignano
How Big Is Humongous? Mathematical Conversations

Sergiy Klymchuk, Cheng Chun Chor Litwin
The Role of attention in assessment


The issues of Affect in Mathematics from several corners of the world are presented in this Volume 6 Number 3 of MTRJ on line. Lynn Columba with her collaborators Robin Hojnoski and  Joy Polignano investigates the impact of book  reading to pre-kindergarten children by their parents or caring adults on children  mathematics learning, while Sergiy Klymchuk with Cheng Chun Chor Litwin from Hong Kong compares the role of attention in the assessment of teachers’ solutions of  provocative questions in the sense that they looked like routine ones but in fact they had some catch. “The results from the test were startling – the vast majority of the teachers did not notice any catch and gave incorrect answers to most questions in the test.”

As an interesting comparison of styles, approaches and philosophical frameworks we publish two papers of Chinese teachers of mathematics from Fuzhou, participants of the CTRAS 5 (Conference of Teaching-Research for All Students), which takes place once a year in China through the US-China collaboration organized by Prof. An Suhua from UC in Long Beach. Teaching-Research is mandated  in all schools across China, and it’s fascinating to observe, listen and read Chinese approaches to known to us teaching problems. It is interesting to observe the poetic classroom language they use: intelligence is a typical character produced and expressed in education situations, and  it is directed by virtue and creativity., the class will be wise and brilliant.

At the same time TR in China seem to rely much more on teacher’s intuition, metaphors and the like, with decisive absence of measurement techniques characteristic for western approaches.

The papers of Chinese teachers are linked with their ppt presentations collected in Fuzhou, China at the CTRAS 5 conference.

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