scholarly journals UNDERSTANDING OF BASIC CONCEPTS FOR MASTERING COMPETENCES OF SCHOOL MATHEMATICS

2016 ◽  
Vol 2 ◽  
pp. 330
Author(s):  
Anita Sondore ◽  
Elfrīda Krastiņa ◽  
Pēteris Daugulis ◽  
Elga Drelinga
Keyword(s):  
Elementary Schools ◽  
Problem Solving ◽  
Life Quality ◽  
School Failure ◽  
School Mathematics ◽  
Mathematical Concepts ◽  
Mathematics Courses ◽  
Mathematical Competence ◽  
Basic Concepts ◽  
University Level

Mathematical competence as a universal and fundamental competence is essential for everyone as a problem solving and life quality improving tool. It is also essential for future teachers who will implement competence based teaching processes starting from elementary schools and preschools. The goal of this research is to discuss typical errors about certain basic mathematical concepts which are taught in school. Failure to grasp these concepts cause problems for learning subsequent mathematics courses and dealing with practical problems. This research will help to improve studies at university level. Experience analysis of university educators related to oral and written answers of students in tests is used in this research. Observations show that many errors get repeated year by year.

The Wonder and Creativity in “Looking Back” at Problem Solutions

1988 ◽  
Vol 81 (6) ◽  
pp. 429-434
Author(s):  
Stanley F. Taback
Keyword(s):  
Problem Solving ◽  
Mathematics Instruction ◽  
Position Paper ◽  
School Mathematics ◽  
National Council ◽  
Mathematical Competence ◽  
Mathematics Educators ◽  
Looking Back

Mathematics educators have always viewed problem solving as a preferential objective of mathematics instruction. It was not, however, until the National Council of Teachers of Mathematics published its position paper An Agenda for Action: Recommendations for School Mathematics of the 1980s that problem solving truly came of age. As its very first recommendation, the Council (1980) directed that “problem solving be the focus of school mathematics in the 1980s” and proclaimed that “performance in problem solving will measure the effectiveness of our personal and national possession of mathematical competence.”

Fostering Mathematical Thinking through Multiple Solutions

2000 ◽  
Vol 5 (8) ◽  
pp. 534-539
Author(s):  
Jinfa Cai ◽  
Patricia Ann Kenney
Keyword(s):  
Problem Solving ◽  
Multiple Solutions ◽  
Mathematical Thinking ◽  
School Mathematics ◽  
Reform Movement ◽  
Mathematics Students ◽  
Mathematical Concepts ◽  
Teachers And Students

The reform movement in school mathematics advocates communication as a necessary component for learning, doing, and understanding mathematics (Elliott and Kenney 1996). Communication in mathematics means that one is able not only to use its vocabulary, notation, and structure to express ideas and relationships but also to think and reason mathematically. In fact, communication is considered the means by which teachers and students can share the processes of learning, doing, and understanding mathematics. Students should express their thinking and problem-solving processes in both written and oral formats. The clarity and completeness of students' communication can indicate how well they understand the related mathematical concepts.

scholarly journals Features of applying Maple in school mathematics course

2020 ◽  
Vol 26 (4) ◽  
pp. 82-91
Author(s):  
Nursaule Baimakhan ◽  
◽  
Raskul Ibragimov
Keyword(s):  
Teaching Method ◽  
School Mathematics ◽  
Full Time ◽  
Mathematical Concepts ◽  
Mathematics Courses ◽  
Course Content ◽  
State Pedagogical ◽  
Independent Work ◽  
Maple Package ◽  
Mathematics Course

This article discusses the features of using the Maple package in a school math course. The school mathematics course consists of basic mathematical concepts, ideas and principles. The scientific nature of the course content and the abstract nature of the topics studied make this course difficult to study in the classroom. The current situation with the coronavirus pandemic has completely eliminated full-time education and made distance education more relevant. The share of independent work of students has increased significantly. This negatively affects the ability to read and understand very complex material. In this regard, the choice of the Maple package as a method of computer technology and its technological possibilities for the organization of independent work of students in school mathematics courses are justified. The authors of the article developed a technology of teaching using the Maple package for school mathematics courses on the basis of the South Kazakhstan State Pedagogical University. This teaching method is aimed at organizing the independent work of students in the study of school mathematics. Examples of the use of the Maple package to solve some problems in a school math course are presented. Taking into account the specifics of the tasks of teaching mathematics at school, the possibilities and advantages of the technology of organizing students' independent work with the help of the Maple package are considered in detail.

Arithmetic without sets

1976 ◽  
Vol 60 (413) ◽  
pp. 165-170
Author(s):  
R. L. Goodstein
Keyword(s):  
School Mathematics ◽  
Mathematical Research ◽  
Mathematical Concepts ◽  
Mathematics Courses ◽  
Primary Level ◽  
The Past ◽  
The Many

During the past 20 years the notion of set has been introduced into school mathematics courses not only at the secondary but also at the primary level. When one considers that neither Newton nor Gauss made any explicit use of the concept, it is rather remarkable that teachers have thought it desirable to teach the concept so early in their school courses. I should like to consider briefly some of the many possible reasons, historical and pedagogic, why “set” has become a school topic. One reason is, of course, the belief which Russell and Whitehead fostered in their Principia mathematica in the first decade of the century, that all mathematical concepts can be reduced to the concept of set. I don’t intend to discuss here the extent to which they failed to justify that belief, although I shall have occasion to mention some of the difficulties which their programme ran into. A second reason is the important part which sets have played in mathematical research this century.

scholarly journals Different Perspectives on Success in Solving Stand-Alone Problems by 14 to 15-Year-Old Students / Različite prespektive o uspješnosti 14 i 15-godišnjaka u rješavanju izoliranoga problema

2021 ◽  
Vol 23 (1) ◽  
Author(s):  
Nives Baranović ◽  
Branka Antunović-Piton
Keyword(s):  
Elementary Schools ◽  
Problem Solving ◽  
Secondary School ◽  
Mathematical Task ◽  
Mathematical Concepts ◽  
Urban Elementary Schools ◽  
8Th Grade ◽  
Verbal Problem ◽  
Set Up ◽  
Problem Solving Process

The paper defines a special type of problem tasks and considers its didactic potential, as well as the success of students in solving the selected problem. The research instrument used is a geometrical task from the National Secondary School Leaving Exam in Croatia (State Matura). The geometrical task is presented in three versions: as a verbal problem, as a verbal problem with a corresponding image and as a problem in context. The material analysed in the present paper was collected from 182 students in 7th and 8th grade of Croatian urban elementary schools. The didactic potential is considered from the aspect of use of mathematical concepts and connections. The success of students in problem-solving is considered from the aspect of implementation of the problem-solving process and producing correct answers, depending on the manner in which the tasks are set up. The results show that the stand-alone problem, as a special type of problem task, has considerable didactic potential. However, the students’ skills of discovering and connecting mathematical concepts and their properties are underdeveloped. In addition, the manner in which the tasks are set up considerably affects the process of solving the task and consequently the success of that process. Based on the results of the research, proposals are given for application of stand-alone problems in teaching mathematics.Key words: isolated problem; mathematical task; problem solving; problem evaluation.  --- U radu se definira posebna vrsta problemskoga zadatka te se razmatra njegov didaktički potencijal kao i uspješnost učenika u rješavanju odabranoga problema. Instrument istraživanja je geometrijski zadatak s državne mature koji se postavlja u tri inačice: kao tekstualni problem, kao tekstualni problem uz odgovarajuću sliku te kao zadatak u kontekstu. U istraživanju je sudjelovalo 182 učenika 7. i 8. razreda hrvatskih gradskih osnovnih škola. Didaktički potencijal razmatra se s aspekta iskoristivosti matematičkih koncepata i veza, a uspješnost učenika u rješavanju problema razmatra se s aspekta provedbe procesa rješavanja i otkrivanja točnoga rješenja ovisno o načinu postavljanja zadatka. Rezultati pokazuju da promatrani problem kao posebna vrsta problemskoga zadatka ima veliki didaktički potencijal, ali da učenici imaju nedovoljno razvijene vještine otkrivanja i povezivanja matematičkih koncepata i njihovih svojstava. Osim toga, način postavljanja zadatka značajno utječe na proces rješavanja, a posljedično i na uspješnost određivanja rješenja. Na temelju rezultata daju se prijedlozi primjene opisane vrste problema u nastavi Matematike.Ključne riječi: izolirani problem; matematički zadatak; rješavanje problema; vrednovanje problema

Using a Calculator to Develop Mathematical Understanding

1981 ◽  
Vol 29 (3) ◽  
pp. 36-38
Author(s):  
James H. Wiebe
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Mathematics Classroom ◽  
Mathematical Understanding ◽  
School Mathematics ◽  
Mathematical Concepts ◽  
Elementary School Mathematics

Calculators are slowly making their way into the elementary school mathematics classroom. Many teachers are beginning to realize their value for checking answers, exploring number patterns, problem solving, and largenumber computations. Calculators can also be very useful in developing understanding of mathematical concepts and operations.

The Impact of Visual Thinking Approach to Promote Elementary Students’ Problem Solving Skill in Mathemathics

2018 ◽  
Vol 1 (2) ◽  
pp. 98
Author(s):  
Muhammad Fendrik ◽  
Elvina Elvina
Keyword(s):  
Elementary Schools ◽  
Problem Solving ◽  
Elementary Students ◽  
Visual Learning ◽  
Control Group ◽  
Visual Thinking ◽  
Quasi Experimental ◽  
Student Skill ◽  
Mathematical Skill ◽  
The Impact

This study aims to examine the influence of visual thinking learning to problemsolving skill. Quasi experiments with the design of this non-equivalent controlgroup involved Grade V students in one of the Elementary Schools. The design ofthis study was quasi experimental nonequivalent control group, the researchbullet used the existing class. The results of research are: 1) improvement ofproblem soving skill. The learning did not differ significantly between studentswho received conventional learning. 2) there is no interaction between learning(visual thinking and traditional) with students' mathematical skill (upper, middleand lower) on the improvement of skill. 3) there is a difference in the skill oflanguage learning that is being constructed with visual learning of thought interms of student skill (top, middle and bottom).

PENERAPAN METODE SCAMPER DALAM MENGEMBANGKAN KEMAMPUAN PEMECAHAN MASALAH DITINJAU DARI MOTIVASI MAHASISWA PENDIDIKAN MATEMATIKA UNIVERSITAS SEMBILANBELAS NOVEMBER KOLAKA

2020 ◽  
Vol 4 (2) ◽  
pp. 43
Author(s):  
Tahir Tahir ◽  
Murniati Murniati
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Average Increase ◽  
Learning Methods ◽  
Problem Solving Skills ◽  
Tertiary Institutions ◽  
Study Programs ◽  
University Level ◽  
General Goals ◽  
The University

This research is based on learning in tertiary institutions which requires more active, independent and creative learners. of the importance of using appropriate learning methods in mathematics learning at the university level. SCAMPER is a technique that can be used to spark creativity and help overcome challenges that might be encountered in the form of a list of general goals with ideas spurring questions. This research aims to develop students' problem solving skills using the SCAMPER method in terms of student motivation. The population in this study were all semester V students of mathematics education study programs, which were also the research samples. From the analysis of the data it was found that the SCAMPER method was better in developing students' problem solving abilities with an average increase of 0.52 compared to conventional methods with an average increase of 0.45. In addition there is a difference between improving students' problem solving abilities when viewed from their motivation. But there is no interaction between motivational factors and learning methods.

The Interplay Between Mathematical and Computational Thinking in Primary School Students’ Mathematical Problem-Solving Within a Programming Environment

2021 ◽  
pp. 073563312097993
Author(s):  
Zhihao Cui ◽  
Oi-Lam Ng
Keyword(s):  
Problem Solving ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Computational Thinking ◽  
Programming Environment ◽  
Primary School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Block Based

In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12–14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing problems, programming, create computational abstractions, as well as troubleshooting and debugging. Our results suggested that the challenges experienced by students were compounded by both having to learn the CT-based environment as well as to apply mathematical concepts and problem solving in that environment. Possible explanations for the observed challenges stemming from differences between CT and mathematical thinking are discussed in detail, along with suggestions towards improving the effectiveness of integrating CT into mathematics learning. This study provides evidence-based directions towards enriching mathematics education with computation.

Problem solving with the Sneetches

2016 ◽  
Vol 23 (5) ◽  
pp. 282-283
Author(s):  
James Russo ◽  
Toby Russo
Keyword(s):  
Problem Solving ◽  
Multiple Solutions ◽  
Mathematical Concepts ◽  
Mathematical Problems

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. In this issue, teachers read the classic Dr. Seuss book The Sneetches and other stories with their class and get students to engage with these associated mathematical problems. The problems, many of which are open-ended or contain multiple solutions or solution pathways, cover a range of mathematical concepts.

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