Technology Tips: A Mathematical Look at a Free Throw Using Technology

1996 ◽  
Vol 89 (9) ◽  
pp. 774-779
Author(s):  
Charles Vonder Embse ◽  
Arne Engebretsen
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Mathematics Curriculum ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematical Concepts ◽  
Evaluation Standards ◽  
Free Throw ◽  
Problem Situations ◽  
Real World Problem

Technology can be used to promote students' understanding of mathematical concepts and problem-solving techniques. Its use also permits students' mathematical explorations prior to their formal development in the mathematics curriculum and in ways that can capture students' curiosity, imagination, and interest. The NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) recommends that “[i]n grades 9–12, the mathematics curriculum should include the refinement and extension of methods of mathematical problem solving so that all students can … apply the process of mathematical modeling to real-world problem situations” (p. 137). Students empowered with technology have the opportunity to model real-world phenomena and visualize relationships found in the model while gaining ownership in the learning process.

Coordinate Geometry: A Powerful Tool for Solving Problems

1990 ◽  
Vol 83 (4) ◽  
pp. 264-268
Author(s):  
Stanley F. Taback
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
School Mathematics ◽  
Mathematical Problem Solving ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
Mathematics Standards ◽  
Problem Situations ◽  
Coordinate Geometry

In calling for reform in the teaching and learning of mathematics, the Curriculum and Evaluation Standards for School Mathematics (Standards) developed by NCTM (1989) envisions mathematics study in which students reason and communicate about mathematical ideas that emerge from problem situations. A fundamental premise of the Standards, in fact, is the belief that “mathematical problem solving … is nearly synonymous with doing mathematics” (p. 137). And the ability to solve problems, we are told, is facilitated when students have opportunities to explore “connections” among different branches of mathematics.

Alice in the Real World

2012 ◽  
Vol 17 (7) ◽  
pp. 410-416 ◽  
Author(s):  
Tom Parker
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Mathematical Problem ◽  
Computer Application ◽  
Mathematical Problem Solving ◽  
The Real ◽  
Programming Knowledge

A computer application promotes programming knowledge and allows students to create their own worlds through mathematical problem solving.

scholarly journals Kemampuan Pemecahan Masalah Matematis Siswa melalui Model Pembelajaran Learning Cycle 7E dan Problem Based Learning

2018 ◽  
Vol 7 (3) ◽  
pp. 425-432
Author(s):  
Puji Lestari ◽  
Rina Rosdiana
Keyword(s):  
Problem Solving ◽  
Mathematics Curriculum ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Learning Cycle ◽  
Mathematical Problem Solving ◽  
Learning Models ◽  
Student Centered ◽  
Student Centered Learning ◽  
The Difference

AbstrakKemampuan pemecahan masalah merupakan bagian dari kurikulum pendidikan matematika saat ini. Fakta di lapangan menunjukkan bahwa kemampuan pemecahan masalah matematis siswa masih belum optimal, salah satu penyebabnya adalah masih banyak siswa yang menemui kesulitan dalam hal pemahaman konsep dasar. Mengoptimalkan kemampuan pemecahan masalah diantaranya dapat ditempuh melalui pembelajaran yang berpusat pada siswa. Model pembelajaran Learning Cycle 7E dan Problem Based Learning merupakan dua dari beragam model pembelajaran yang berpusat pada siswa. Adapun tujuan dari penelitian ini adalah untuk mengetahui perbedaan pencapaian kemampuan pemecahan masalah matematis antara siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning. Hasil dari penelitian menyimpulkan bahwa tidak terdapat perbedaan peningkatan kemampuan pemecahan masalah matematis antara siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning. Sementara itu, untuk kualitas peningkatan kemampuan pemecahan masalah matematis siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning masing-masing berinterpretasi sedang namun skor perolehan nya berbeda. Secara umum, sikap siswa terhadap pembelajaran matematika menggunakan model pembelajaran Learning Cycle 7E dan Problem Based Learning masing-masing berinterpretasi baik. Abstract (Students’ Problem Solving Ability through Learning Cycle 7E and Problem Based Learning)Currently mathematical problem solving ability was a part of mathematics curriculum. In fact, the mathematical problem solving ability of students was not optimized, one of the reasons is there are still many students who have problems in terms of understanding the basic concepts. To optimizing the mathematical problem solving ability of students, it, can be reached by implementing student-centered learning. Learning Cycle 7E and Problem Based Learning are two of a lot of student-centered learning models. The purpose of this study was to determine the difference of achievement mathematical problem solving ability between students who get Learning Cycle 7E and Problem Based Learning models.  The results of this study are there is not a difference enhancement of mathematical problem solving ability between students who get Learning Cycle 7E and Problem Based Learning models. Meanwhile, the quality of enhancement mathematical problem solving ability students who get Learning Cycle 7E and Problem Based Learning models are in the middle interpretation. In general, students' attitudes toward learning mathematics using Learning Cycle 7E and Problem Based Learning models each in good interpretation.

What Is in the Daily News? Problem-Solving Opportunities!

1999 ◽  
Vol 5 (7) ◽  
pp. 390-394
Author(s):  
Robyn Silbey
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Daily News ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
The Everyday ◽  
Everyday World ◽  
Real World Problems

In An Agenda for Action, the NCTM asserted that problem solving must be at the heart of school mathematics (1980). Almost ten years later, the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) stated that the development of each student's ability to solve problems is essential if he or she is to be a productive citizen. The Standards assumed that the mathematics curriculum would emphasize applications of mathematics. If mathematics is to be viewed as a practical, useful subject, students must understand that it can be applied to various real-world problems, since most mathematical ideas arise from the everyday world. Furthermore, the mathematics curriculum should include a broad range of content and an interrelation of that content.

Implementing the Standards: Incorporating Mathematical Modeling into the Curriculum

1991 ◽  
Vol 84 (5) ◽  
pp. 358-365
Author(s):  
Frank Swetz
Keyword(s):  
Mathematical Modeling ◽  
Problem Solving ◽  
Original Problem ◽  
Problem Situation ◽  
Multistage Process ◽  
Problem Solving Skills ◽  
Evaluation Standards ◽  
Problem Situations ◽  
Real World Problem ◽  
The Impact

In suggesting plans of action for the reform of mathematics education in North America, NCTM reports have focused strongly on the need to improve problem-solving skills and the need to “do” mathematics. Most recently, these goals have been reiterated and clarified in Curriculum and Evaluation Standards for School Mathematics (NCTM 1989). In discussing the impact of Standard 1: Mathematics as Problem Solving on students in grades 9-12, the report notes that students should be able to “apply the process of mathematical modeling to real-world problem situations” (p. 137). By using the phrase “apply the process of mathematical modeling,” the authors of this standard were most precise in their language. Mathematical modeling is a process and must be taught as a process. Certainly mathematical modeling involves problems, but it should not be considered as merely a collection of interesting problems and solution schemes. More important, modeling is a multistage process that evolves from the identification and mathematical articulation of a problem through its eventual solution and the testing of that solution in the original problem situation. The challenge for teachers is to understand this process of mathematical modeling and to apply it effectively in problem solving.

A Visual Approach to Solving Mixture Problems

1996 ◽  
Vol 89 (2) ◽  
pp. 108-111
Author(s):  
Albert B. Bennett ◽  
Eugene Maier
Keyword(s):  
Mathematical Modeling ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Multiple Representations ◽  
School Mathematics ◽  
Mathematical Problem Solving ◽  
Evaluation Standards ◽  
Conceptual Understandings ◽  
Visual Approach

In the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989), the 9–12 standards call for a shift from a curriculum dominated by memorization of isolated facts and procedures to one that emphasizes conceptual understandings, multiple representations and connections, mathematical modeling, and mathematical problem solving. One approach that affords opportunities for achieving these objectives is the use of diagrams and drawings. The familiar saying “A picture is worth a thousand words” could well be modified for mathematics to “A picture is worth a thousand numbers.” As an example of visual approaches in algebra, this article uses diagrams to solve mixture problems.

scholarly journals PENGEMBANGAN E-MODULE AUDIOVISUAL OPERASI ARITMATIKA DASAR BERBASIS PEMAHAMAN KONSEP DAN NILAI-NILAI AKHLAK

2021 ◽  
Vol 9 (2) ◽  
pp. 237
Author(s):  
Mela Aziza
Keyword(s):  
Problem Solving ◽  
Learning Outcomes ◽  
Field Test ◽  
Empirical Test ◽  
Mathematical Problem ◽  
Moral Values ◽  
Learning Activities ◽  
Development Model ◽  
Mathematical Problem Solving ◽  
Mathematical Concepts

This study aims to determine the validity, practicality, and effectiveness of the audiovisual e-module for basic arithmetic operations based on understanding concepts and moral values. The development model used is 4D (Define, Design, Develop, and Disseminate). Data in the study were collected with validation sheets, practicality sheets, response questionnaires, and learning outcomes tests. After the define and design stages have been carried out, Draft I of the e-module is obtained. At the develop stage, a validity test was carried out on five validators, an empirical test was done to 1 teacher and 5 students, as well as a field test to a class 2A MI Humaira' Bengkulu City so that a valid, practical, and effective e-module was produced. This e-module has some advantages, namely providing interactive learning activities with clear and detailed pictures, videos and learning steps, motivating students to learn mathematics, explaining material according to mathematical concepts, containing moral values that can be imitated, giving project activities that can be done independently, as well as practicing students' mathematical problem solving skills.AbstrakPenelitian ini bertujuan untuk mengetahui kevalidan, kepraktisan, dan keefektifan e-module audiovisual operasi aritmatika dasar berbasis pemahaman konsep dan nilai-nilai akhlak. Model pengembangan yang digunakan adalah 4D (Define, Design, Develop, dan Disseminate). Data dalam penelitian dikumpul-kan dengan lembar validasi, lembar kepraktisan, angket respon, dan tes hasil belajar. Setelah dilakukan tahap define dan design dihasilkan Draf I Produk e-module. Pada tahap develop, dilakukan uji kevalidan kepada lima validator, uji empirik (terbatas) kepada 1 guru dan 5 peserta didik, serta uji lapangan kepada satu kelas 2A MI Humaira’ Kota Bengkulu sehingga dihasilkan produk akhir e-module yang valid, praktis, dan efektif. E-module ini memiliki beberapa keunggulan yaitu menyajikan kegiatan belajar yang interaktif dengan gambar, video dan langkah-langkah pembelajaran yang jelas dan rinci, memotivasi peserta didik belajar matematika, men-jelaskan materi sesuai konsep matematika, me-ngandung nilai-nilai akhlak yang bisa diteladani, menyajikan kegiatan proyek yang bisa dilakukan secara mandiri, serta melatih kemampuan pemecah-an masalah matematika peserta didik. 

The Patchwork Quilt: A Context for Problem Solving

1992 ◽  
Vol 40 (4) ◽  
pp. 199-203
Author(s):  
Deborah A. Carey
Keyword(s):  
Children's Literature ◽  
Problem Solving ◽  
Real World ◽  
Mathematics Curriculum ◽  
Children’S Literature ◽  
School Mathematics ◽  
Evaluation Standards ◽  
New Concepts ◽  
Patchwork Quilt

A mathematics curriculum that focuses on problem solving needs relevant, challenging problems for students to solve. The most engaging problems initially emerge from real-world contexts and offer opportunities for extensions that are limited only by the problem-solving abilities of the students. As suggested by the NCfM's Curriculum and Evaluation Standards for School Mathematics (1989), students learn new concepts and skills through problem-solving experiences. Therefore, selecting appropriate contexts that offer opportunities for problem solving and from which students can generate problems is critical. This article discusses how one piece of children's Literature be used to develop appropriate problem solving tasks.

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