Implementing The Standards: The Role Of Technology in Teaching Mathematics

1990 ◽  
Vol 83 (1) ◽  
pp. 27-31
Author(s):  
Franklin Demana ◽  
Bert K. Waits
Keyword(s):  
Mathematics Teachers ◽  
Mathematics Classroom ◽  
Graphing Calculators ◽  
Teaching Mathematics ◽  
Evaluation Standards ◽  
Mathematical Content ◽  
Technology In Teaching ◽  
To Come ◽  
The Many

Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) assumes that in grades 9–12 all students will have access to graphing calculators, that every mathematics classroom will have a demonstration computer available at all times, and that all students will have the opportunity to use computers in mathematics. Teachers must start now to implement the many technologies currently available and prepare for the explosion of technology to come in this decade. In this article we address some questions about technology that are sure to arise as we begin to implement the spirit and vision of the Standards. Our examples are drawn primarily from the use of graphing calculators in advanced algebra and beyond, but the questions are typical of those that arise with other technologies and other mathematical content.

Using Dynamic Geometry Software to Engage Students in the Standards for Mathematical Practice

2015 ◽  
pp. 227-256
Author(s):  
Milan Sherman ◽  
Carolyn McCaffrey James ◽  
Amy Hillen ◽  
Charity Cayton
Keyword(s):  
Mathematics Classroom ◽  
Dynamic Geometry ◽  
Mathematical Practice ◽  
Dynamic Geometry Software ◽  
Teaching Mathematics ◽  
Instructional Technologies ◽  
Mathematical Relationships ◽  
Case Based

This case provides readers with an opportunity to consider issues pertaining to the use of instructional technologies in the mathematics classroom. As a narrative case based on a lesson observed in a real classroom, the case reflects the complexities of this context, yet was written to highlight certain themes relevant to teaching mathematics with technology. In particular, how students use dynamic geometry software to explore mathematical relationships, how they engage with the Standards for Mathematical Practice, and the important role of the teacher in this process are prominent themes in the lesson.

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education

1992 ◽  
Vol 23 (5) ◽  
pp. 412-431 ◽  
Author(s):  
Michael W. Apple
Keyword(s):  
Mathematics Education ◽  
Educational Reform ◽  
Mathematical Knowledge ◽  
Mathematics Curriculum ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Policy And Practice ◽  
Conservative Movement ◽  
Evaluation Standards

Although NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991) are generating considerable interest, there has been little discussion of their ideological and social grounding and effects. By placing the Standards within the growing conservative movement in education, this paper raises a number of crucial issues about the documents, including the depth of the financial crisis in education and its economic and ideological genesis and results; the nature of inequality in schools; the role of mathematical knowledge in our economy in maintaining these inequalities; the possibilities and limitations of a mathematics curriculum that is more grounded in students' experiences; and the complicated realities of teachers' lives. Without a deeper understanding of these issues, the Standards will be used in ways that largely lend support only to the conservative agenda for educational reform.

Seventeenth Annual Summer Meeting

1957 ◽  
Vol 50 (5) ◽  
pp. 410-411
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching Mathematics ◽  
The Many ◽  
Annual Summer ◽  
The U.S

Contemporary mathematics, new trends in mathematics education, and current problems of teaching mathematics will be highlighted at the 1957 Summer Meeting of The rational Council of Teachers of Mathematics at Carleton College. Outstanding leaders in mathematics and education from all parts of the U.S. will participate in the meetings. Mathematics teachers wilt share their successful techniques at the many sessions on current teaching problems.

Connecting Research to Teaching: Probability and Statistics

1993 ◽  
Vol 86 (3) ◽  
pp. 244-248
Author(s):  
J. Michael Shaughnessy
Keyword(s):  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Classroom Communication ◽  
Approaches To Teaching ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Present Information ◽  
Probability And Statistics ◽  
The Many

This issue introduces a new department to the Mathematics Teacher, “Connecting Research to Teaching.” Articles will focus on mathematical and pedagogical ideas related to the NCTM's Curriculum and Evaluation Standards (1989) and the Professional Standards for Teaching Mathematics (1991). Authors will strive to present information to help teachers (1) understand students' conceptions or misconceptions of important ideas, (2) consider various approaches to teaching, and (3) offer activities that probe students' understanding. Although research offers no one correct answer to the many perplexing problems surrounding teaching and learning mathematics, the suggestions and perspectives may help teachers pursue their work with new insights. It is hoped that the department will also stimulate researchers to reflect on connecting research to the classroom. Communication and collaboration between teachers and researchers will benefit both groups and help each grow in appreciation of the other's tasks.

scholarly journals ‘Playing it safe’ or ‘throwing caution to the wind’: Risk-taking and emotions in a mathematics classroom

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Elizabeth Lake
Keyword(s):  
Mathematics Teachers ◽  
Risk Taking ◽  
Social Learning Theory ◽  
Mathematics Teaching ◽  
Positive Emotions ◽  
Mathematics Classroom ◽  
Experienced Teachers ◽  
Good Teaching ◽  
The Moment

This paper attends to teacher intellectual risk-taking when attached to expression of positive emotions, in order to explore some of the reasons why teacher risk-taking may not appear in mathematics lessons. We know that risk-taking can be beneficial, but research has not really examined what form this might take in a classroom. In recent research, I investigated how positive emotions are discussed and used by experienced mathematics teachers. In particular how to examine the ‘in-the-moment’ emotions of the teacher, and what the modelling of experienced teachers tells us about the role of affect in mathematics teaching. This paper examines some affect episodes for elements of teacher risk-taking. The evidence suggests that teacher risk-taking enables the use of emotions, and vice versa, is integral to ‘good’ teaching, and that, in Bandura’s Social Learning Theory terms, modelling such behaviours appears beneficial to student learning and should be encouraged.

Choosing Mathematical Examples: Routine but Not an Easy Task

2013 ◽  
Vol 63 (2) ◽  
Author(s):  
Faridah Sulaiman ◽  
Mohini Mohamed
Keyword(s):  
Mathematics Teachers ◽  
Teaching Practices ◽  
Teaching Experience ◽  
Teaching Mathematics ◽  
Mathematical Content ◽  
Easy Task ◽  
Mathematical Ideas ◽  
Communication Device ◽  
Routine Tasks

Choosing examples for the purpose of teaching mathematics is routine tasks done by every mathematics teachers. Examples are an important medium used by mathematics teachers as a communication device to discuss mathematical content with their students (Leindhart, 2001). Through examples, students build their understanding about mathematical ideas. In spite of the important role played by mathematical examples, the knowledge about mathematical exemplification is not formally taught to the teachers. It has to be built by the teachers through their teaching experience (Zaslavsky & Zodik, 2007). The purpose of this study is to capture this knowledge. We study six Excellent Mathematics Teachers teaching practices using pre-active notes, observation and interview in order to know the things that influence their choice of examples.  Findings show that although choosing examples is a routine task, but it seems that it is not an easy one.

scholarly journals An Exploration into Teachers’ Technological Mathematics Knowledge: Changling Xiwang Elementary School as A Case Study

2021 ◽  
Vol 3 (4) ◽  
pp. 340-351
Author(s):  
Shiwei Tan ◽  
Wenrong Jiang
Keyword(s):  
Elementary School ◽  
Mathematics Teachers ◽  
Educational Institutions ◽  
Teaching Mathematics ◽  
Professional Educators ◽  
Technology In Teaching ◽  
Mathematics Knowledge ◽  
Develop Technology ◽  
Information And Communication ◽  
The Times

The role of teachers in educational institutions in this era must at least know the duties of teachers as professional educators, namely educating, teaching, guiding, directing, training, assessing, and evaluating students in early childhood education. The main purpose of this study is to find out how the teacher's ability to explore technological mathematical knowledge is in teaching mathematics in the classroom. The research paradigm adopted in this study is qualitative research. The main sample in this study were 24 teachers who teach at Changling Xiwang Elementary School. This research was carried out from March to May of the 2020/2021 academic year. The results showed that the teacher's perception of technological abilities in teaching technology-based mathematics, the ability of mathematics teachers to teach mathematics, and the ability of technology-assisted mathematics teachers to teach mathematics in class were categorized as good. These results indicate that most of the teacher's abilities are classified as good about using technology in teaching mathematics. The research suggests furthering researchers to be able to develop technology-based learning media, especially in the field of mathematics in teaching mathematics material in the classroom. Teachers in this century are advised to keep up with the times that are filled with facilities based on information and communication technology (ICT).

Tips for Beginners: Using the overhead projector in an algebra class

1962 ◽  
Vol 55 (2) ◽  
pp. 135-139
Author(s):  
Alan R. Osborne
Keyword(s):  
Mathematics Classroom ◽  
Teaching Mathematics ◽  
Overhead Projector ◽  
The Many ◽  
Algebra Class

Most teachers of mathematics could make better use of audiovisual materials in addition to the blackboard. Though it is hard to imagine teaching mathematics without a blackboard, one should be cognizant of the many audiovisual tools which exist and are of particular use in the mathematics classroom. The purpose of this article is to point out advantages derived from using an audiovisual tool called the overhead projector and to describe inexpensive accessories that are of use specifically in an algebra class.

Soundoff: Make Room for Dancing

1995 ◽  
Vol 88 (1) ◽  
pp. 6-7
Author(s):  
Larry E. Askins
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
School Mathematics ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Evaluation Standards ◽  
Clear Vision

As mathematics teachers, we are eager for an optimistic view of what our classrooms can become during this decade and beyond. I believe that NCTM's Professional Standards for Teaching Mathematics (1991) and Curriculum and Evaluation Standards for School Mathematics (1989) present a clear vision for making mathematics education successful in the 1990s. However, the documents mean nothing if individual teachers fail to take deliberate steps toward realizing that vision.

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