Powers and Patterns: Problem Solving with Calculators

1982 ◽  
Vol 30 (2) ◽  
pp. 42-44
Author(s):  
Glenda Lappan ◽  
Elizabeth Phillips ◽  
M. J. Winter
Keyword(s):  
Problem Solving ◽  
Mathematical Concept ◽  
School Mathematics ◽  
Mathematical Idea ◽  
Wide Spread ◽  
Problem Solving Skills ◽  
Problem Solving Strategies ◽  
Paper And Pencil

With the publication of An Agenda for Action: Recommendations for School Mathematics of the 1980s, the NCTM has emphasized its support for helping students to develop and use problem-solving skills. The challenge for the teacher is to provide opportunities for the development of the e skill while teaching mathematical concept that comprise the basic curriculum. With the wide-spread availability of calculators, teachers have a tool that can be used to expand the study of many basic mathematical idea to include the development of problem-solving strategies. Calculations that would be so time consuming as to be impractical if they were done with paper and pencil, can be quickly done with a calculator.

scholarly journals Relación entre conducta prosocial, resolución de problemas y consumo de drogas en adolescentes

2016 ◽  
Vol 32 (2) ◽  
pp. 609 ◽  
Author(s):  
Olga Hernández-Serrano ◽  
José P. Espada ◽  
Alejandro Guillén-Riquelme
Keyword(s):  
Problem Solving ◽  
Statistical Significance ◽  
Cross Sectional Study ◽  
Prosocial Behaviour ◽  
Cross Sectional ◽  
Problem Solving Skills ◽  
Problem Solving Strategies ◽  
And Gender ◽  
Prosocial Behaviours ◽  
Age Range

<p>The objectives of the present study are the following ones: 1) to study the use of drugs, the prosocial behaviour and the problem-solving skills with respect to age and gender, and 2) to analyze the association of both the prosocial behaviour and the problem-solving skills with the use of drugs. An exploratory cross-sectional study was performed, amongst a sample of 567 students in Spanish Compulsory Secondary Education (48.14% males) with an age range from 14 to 17 years (<em>M </em>= 14.92; <em>SD </em>= 0.90). Statistically significant differences were found concerning alcohol use and the prosocial behaviour with respect to gender, as well as concerning alcohol and cannabis use with respect to age. Logistic regression analyses revealed statistical significance of the prosocial behaviour with respect to the use of alcohol and cannabis. The ability in problem-solving was the most important protective predictor with respect to the abuse of cannabis. The results from this study enhance the importance of tailored interventions based on the promotion of prosocial behaviours and/or problem-solving strategies as fundamental protective factors for substance use amongst adolescents.</p>

Activities: Extending Problem-Solving Skills

1985 ◽  
Vol 78 (1) ◽  
pp. 36-44
Author(s):  
Robert A. Laing
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Problem Solving Skills ◽  
Technological Society ◽  
K 12

Introduction: Recognizing that the mathematics curriculum in grades K-12 must include more than the concepts and skills of mathematics to prepare students to be productive and contributing members of a rapidly changing technological society, the Agenda for Action (NCTM 1980, 3, 4) recommends that problem solving be the focus of school mathematics in the 1980s.

Real World Use of Scientific Concepts: Integrating Situated Cognition with Explicit Instruction

1998 ◽  
Vol 65 (1) ◽  
pp. 23-35 ◽  
Author(s):  
Russell Gersten ◽  
Scott Baker
Keyword(s):  
Professional Development ◽  
Problem Solving ◽  
Students With Disabilities ◽  
Learning Environments ◽  
Real World ◽  
Explicit Instruction ◽  
Situated Cognition ◽  
Contextual Learning ◽  
Problem Solving Skills ◽  
Problem Solving Strategies

This article presents a conceptual framework for refining instruction in science for students with disabilities. We review the concept of situated cognition as a way to address difficulties students have in retention and generalization, a perennial issue in special education. If a goal for students is real world use of problem-solving strategies, students must have opportunities for contextual learning. The proposed framework suggests that integration of explicit instruction in critical concepts, with cognitively based approaches that emphasize problem-solving skills on real world tasks may allow students with disabilities to be successful The implications this framework has in terms of policy, professional development, and the creation of learning environments that promote retention and transfer are discussed.

scholarly journals Problem-Solving Skills Among Precollege Students in Clinical Immunology and Microbiology: Classifying Strategies with a Rubric and Artificial Neural Network Technology

2001 ◽  
Vol 2 (1) ◽  
pp. 25-33
Author(s):  
SUSAN KANOWITH-KLEIN ◽  
MEL STAVE ◽  
RON STEVENS ◽  
ADRIAN M. CASILLAS
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
High School Students ◽  
Problem Solving ◽  
Network Technology ◽  
Problem Solving Skills ◽  
Problem Solving Strategies ◽  
Artificial Neural ◽  
Neural Network Technology

Educators emphasize the importance of problem solving that enables students to apply current knowledge and understanding in new ways to previously unencountered situations. Yet few methods are available to visualize and then assess such skills in a rapid and efficient way. Using a software system that can generate a picture (i.e., map) of students’ strategies in solving problems, we investigated methods to classify problem-solving strategies of high school students who were studying infectious and noninfectious diseases. Using maps that indicated items students accessed to solve a software simulation as well as the sequence in which items were accessed, we developed a rubric to score the quality of the student performances and also applied artificial neural network technology to cluster student performances into groups of related strategies. Furthermore, we established that a relationship existed between the rubric and neural network results, suggesting that the quality of a problem-solving strategy could be predicted from the cluster of performances in which it was assigned by the network. Using artificial neural networks to assess students’ problem-solving strategies has the potential to permit the investigation of the problem-solving performances of hundreds of students at a time and provide teachers with a valuable intervention tool capable of identifying content areas in which students have specific misunderstandings, gaps in learning, or misconceptions.

scholarly journals Mathematics Teachers’ Perceptions about Problem-Solving: The case of Ghana

2019 ◽  
Vol 13 ◽  
pp. 1-18
Author(s):  
Ernest Ampadu
Keyword(s):  
Professional Development ◽  
High School ◽  
Problem Solving ◽  
Mathematics Teachers ◽  
Junior High School ◽  
Teaching And Learning ◽  
Senior High School ◽  
Cape Coast ◽  
Problem Solving Skills ◽  
Problem Solving Strategies

Most students experience different levels of difficulties in learning mathematics. TIMSS results have shown that most students in Ghana do not perform well in higher level tasks designed to assess applications and non-routine problems. This study, therefore, aimed at examining Ghanaian Junior and Senior High School mathematics teachers problem-solving strategies and their professional development needs about problem-solving. 114 mathematics teachers from 28 Junior High School (JHS) and Senior High School (SHS) in the Cape Coast Metropolis took part in the study. Quantitative and qualitative data were collected using a semi-structured questionnaire. The results from the study show that although teachers appreciate the importance of problem-solving in improving mathematics teaching and learning, there has not been the needed problem-solving training to support teachers in this regard. The researcher, therefore, argue that despite the numerous advantages associated with problem-solving strategy of teaching and learning, continuous professional development training for teachers should be paramount in our quest for helping students develop problem solving skills. Ghanaian JHS and SHS students can be in a disadvantageous position as they compete with their peers from other countries in international comparison examinations if our teachers are not given the needed support to become proficient in the use of problem-solving strategies in the classrooms.

Exploring Patterns, Relations, and Functions

1992 ◽  
Vol 39 (9) ◽  
pp. 19-21
Author(s):  
Charles P. Geer
Keyword(s):  
Problem Solving ◽  
Cognitive Skills ◽  
Mathematics Instruction ◽  
School Mathematics ◽  
First Century ◽  
Evaluation Standards ◽  
Learning Mathematics ◽  
New Knowledge ◽  
Paper And Pencil ◽  
Twenty First Century

As teachers use NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) to develop programs that will prepare students for the twenty-first century, some are discovering that mathematics instruction is going to be very different in the 1990s. Many previous programs placed a heavy emphasis on paper-and-pencil proficiency with computational skills and learning mathematics by memorizing rules. Because of advances in technology, new knowledge about how learning occurs, and the changing needs of business and industry, future programs will focus on mathematics with meaning, problem solving, and higher-level cognitive skills.

Hidden Behaviors in Graphs

1993 ◽  
Vol 86 (6) ◽  
pp. 466-468
Author(s):  
H. Edward Donley ◽  
Elizabeth Ann George
Keyword(s):  
Problem Solving ◽  
Instructional Methods ◽  
Graphing Calculators ◽  
Graphical Analysis ◽  
School Mathematics ◽  
Mathematical Ideas ◽  
Algebraic Analysis ◽  
New Approaches ◽  
Problem Solving Strategies ◽  
The Relationship

Through the use of graphing calculators or computers, instructors can expose students to richer examples in algebra and exploit the relationship between algebraic analysis and graphical analysis. The NCTM's Commission on Standards for School Mathematics (NCTM 1989) recommends incorporating this technology into the curriculum, thereby supplying students with new approaches in the investigation of mathematical ideas. Changes in both our curriculum and instructional methods are necessary to create an environment wherein students can develop the new problem-solving strategies that this technology makes possible.

News from the Net: Aunty Math's Challenges for Kids

1999 ◽  
Vol 5 (7) ◽  
pp. 420
Author(s):  
Beth Lazerick
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Web Site ◽  
School Mathematics ◽  
Evaluation Standards ◽  
The Real ◽  
Problem Solving Strategies ◽  
The Web

Aunty Math, for students and their teachers, is a terrific site that emphasizes problem-solving strategies listed in the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). The site is designed for children; the layout is easy to use, and the graphics are inviting. Aunty Math's problems, called “challenges,” are set in stories about Aunty Math's nephews and niece. The real Aunty Math behind the Web site is an experienced, awardwinning teacher who is very involved in mathematics education.

scholarly journals Analisis Kemampuan Pemecahan Masalah Peserta Didik yang Belajar Dengan Strategi Problem Solving Berdasarkan Langkah Polya

2019 ◽  
Vol 3 (1) ◽  
pp. 57-70
Author(s):  
Wina Fajriah
Keyword(s):  
Problem Solving ◽  
Test Problem ◽  
Learning Strategy ◽  
Qualitative Approach ◽  
Story Problems ◽  
Problem Solving Skills ◽  
High Category ◽  
Problem Solving Strategies ◽  
The Subject ◽  
High Level

The purpose of this study was to analyze the problem solving abilities of SMP Kartika I-6 grade VIII students, who learn with problem solving strategies based on Polya steps in solving story problems. This research is descriptive with a qualitative approach. The subject of this study was class VIII1 student. After  problem solving learning strategy are  applied, given test problem solving ability in participants and the results are analyzed based on the steps of pattern.Test results raising students in three levels of problem solving skills, namely a high level of 25 %, medium 50 %, lower 25%. Based on the indicator of problem solving, it is known that the ability of students in understanding problems and arranging settlement plans is in the high category, while in implementing the completion plan it is categorized as being moderate and checking the answers back at a low level.

Sign in / Sign up

Export Citation Format

Share Document