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.

Mogućnosti primene istraživački zasnovane nastave (IN) u početnom matematičkom obrazovanju

2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  
Keyword(s):  
Teaching And Learning ◽  
Teaching Practice ◽  
Teaching Mathematics ◽  
Teaching Process ◽  
Inquiry Based Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Key Competencies ◽  
Insight Into

Modern primary education, especially mathematics, requires constant innovation of teaching practice in order to modernize, rationalize, and efficiently the teaching process. Teaching mathematics should be experienced as a process that promotes learning with understanding, stimulates motivation, active learning, research, critical thinking, analysis, problem solving, drawing conclusions, exchange of experiences. The tendency to improve the quality of mathematics education has resulted in many studies pointing to the benefits of research-based mathematics (IN) teaching, known as inquiry-based learning (IBL), recognized as an essential way of organizing the teaching process to develop key competencies, abilities and skills in 21st century. Тhe aim of this paper is to see, based on a comprehensive theoretical analysis and the results of previous research. The created model of teaching mathematics based on research represents a useful framework for improving the quality of the process of teaching and learning mathematics, and empowers teachers in its application and affirmation, gaining insight into the way of organizing research learning.

Let's Do It: Punchy Mathematics

1983 ◽  
Vol 31 (2) ◽  
pp. 10-14
Author(s):  
Jean M. Shaw
Keyword(s):  
Teaching And Learning ◽  
Primary Grades ◽  
Approaches To Teaching ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

Let's Do It—activity approaches to teaching and learning mathematics in the primary grades, with extensions through grade six.

scholarly journals Online Learning during Covid-19: What is the Most Effective Platform for Teaching and Learning Mathematics?

2021 ◽  
Vol 4 (1) ◽  
pp. 166-178
Author(s):  
Mela Aziza
Keyword(s):  
Online Learning ◽  
Teaching Methods ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Islamic State ◽  
Online Questionnaire ◽  
State Institute ◽  
Strong Signal ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

The purpose of this research was to find how the first online learning implementation in the Department of Mathematics Education in The Islamic State Institute of Bengkulu during the Covid-19 pandemic. This research was qualitative research which was conducted in July as an evaluation of the first online learning from March until July. 90 students were chosen by purposive sampling and then given an online questionnaire. The results showed that there were some mathematical courses students took in the Even Semester 2019/2020. The platforms used by lecturers while teaching Mathematics were 39.6% WhatsApp Group, 22% Google Classroom, 13.2% Cisco Webex, and 25.2 % others. Platforms that were felt effective as online learning applications were 52.7% Cisco Webex, 26.4 % WhatsApp Group, 9.9% Zoom meeting, 5.5% Google Classroom, and 5.5% others. This is felt to be effective because it does not consume a lot of data packages, has a strong signal, and can be accessed at any time (WhatsApp Group and Google Classroom). In addition, this platform can be used for live conferencing / video calls using whiteboards which are deemed effective for teaching math material (Cisco Webex). However, several obstacles were found during the implementation of online learning, namely difficulties in obtaining sufficient internet data packages; limited network; difficult assignments and assessments; less effective teaching methods; and use of multiple applications.

Let's Do It: Promoting Mathematical Thinking

1985 ◽  
Vol 32 (6) ◽  
pp. 7-13
Author(s):  
John Van de Walle ◽  
Charles S. Thompson
Keyword(s):  
Teaching And Learning ◽  
Mathematical Thinking ◽  
Primary Grades ◽  
Approaches To Teaching ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

Let's Do It—activity approaches to teaching and learning mathematics in the primary grades, with extensions through grade six.

Applications: Using Technology to Understand the Jury Decision-making Process

1994 ◽  
Vol 87 (2) ◽  
pp. 110-114
Author(s):  
Kenneth P. Goldberg
Keyword(s):  
Teaching And Learning ◽  
Potential Effect ◽  
Graphing Calculator ◽  
School Mathematics ◽  
Decision Making Process ◽  
Jury Decision Making ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Jury Decision

Two of the recommendations of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) are to use technology to enhance teaching and learning mathematics and to relate school mathematics to the world in which the students Jive through developing and interpreting mathematical models. This article demonstrates how computer or graphing-calculator technology can be used to help students develop and interpret three increasingly realistic models of jwy behavior and explore the potential effect of such decisions as changing jury size. The only mathematics required is an understanding of simple binomial probabilities and the use of sigma, or summation, notation

I Do and I Understand, I Reflect and I Improve

1994 ◽  
Vol 1 (4) ◽  
pp. 242-246
Author(s):  
Carolyn Schcibelhut
Keyword(s):  
Elementary Teachers ◽  
Teaching And Learning ◽  
School Mathematics ◽  
Methods Course ◽  
Methods Courses ◽  
Prospective Elementary Teachers ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

“I hear and I forget. I see and I remember. I do and I understand.” In my college methods course on teaching and learning mathematics, my goal is to prepare prospective elementary teachers to meet the challenge of implementing the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989). My colleagues agree that it is important for our students majoring in education to develop understanding by “doing,” so our students are given the opportunity to plan and teach lessons in a clinical classroom during live semester in which they take their methods courses.

Teaching Mathematics Then and Now: Still Hazy after All These Years? A Reaction Paper to Algebra in the Elementary Schools

2007 ◽  
Vol 13 (5) ◽  
pp. 248-251
Author(s):  
Jennifer M. Bay-Williams
Keyword(s):  
Elementary School ◽  
Elementary Schools ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching Algebra ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

In his song “Still Crazy after All These Years,” Paul Simon (1974) writes, “I seem to lean on old familiar ways.” Shipley's article “Algebra in the Elementary Schools,” written in 1912, offers the opportunity for us to reflect on what we have accomplished, what we have learned, and what remains hazy even 100 years later with respect to teaching and learning mathematics. Do we still lean on old familiar ways of teaching algebra? This article has many messages that are relevant to us today in thinking about algebra and about teaching and learning mathematics in general. In addition, it raises the following questions: How does Shipley's conception of algebra compare with our conception of it today? What broader issues does he address that are still prevalent today? How far have we come in our implementation of his ideas? What aspects of teaching and learning mathematics in elementary school remain hazy after all these years?

Best Practices and Case Studies of Teaching and Learning Mathematics in Higher Education

2020 ◽  
pp. 355-371
Author(s):  
Deonarain Brijlall
Keyword(s):  
Higher Education ◽  
Theoretical Analysis ◽  
Southern Africa ◽  
Teaching And Learning ◽  
Empirical Studies ◽  
Skilled Manpower ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Engineering And Technology ◽  
The Many

Presently, a major desire of many African nations is to be technologically developed. In Southern Africa there tends to be an acute shortage of skilled manpower in the field of science, engineering, and technology. The interrelationship between Mathematics and development of humans to advance the cause of humans is a fundamental importance of Mathematics to humans. In this chapter, the author draws on the many empirical studies which address quality in teaching and learning. The focus of the chapter is to summarize the many research studies in Southern Africa which address the teaching and learning of Mathematics in Higher Education. The author shall confine the studies to those which adopt APOS (Actions-Process-Object-Schema) as a theoretical analysis. So far no research seems to have collated such African studies in a cohesive manner and this chapter intends to do that.

Soundoff: Four Teacher-Friendly Postulates for Thriving in a Sea of Change

1994 ◽  
Vol 87 (6) ◽  
pp. 392-393
Author(s):  
Steven Leinwand
Keyword(s):  
Social Studies ◽  
Language Arts ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Gray Areas ◽  
The Way

Many of us chose mathematics teaching because it was always so neat and clean. We felt an affinity toward teaching and learning mathematics because it was orderly and logical. Almost always, we arrived at only one numerical answer by using one right procedure that could be easily graded either right or wrong. We knew that with our beloved mathematics, we suffered none of the gray areas that plague the disciplines of language arts and social studies. And we knew that we would be rewarded for teaching mathematics the way we ourselves were taught. But, oh, how things have changed!

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