How Huge Is a Hundred?

1999 ◽  
Vol 6 (3) ◽  
pp. 154-159
Author(s):  
Susan Hampton Auriemma
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Learning Environment ◽  
Number Sense ◽  
First Graders ◽  
School Mathematics ◽  
Place Value ◽  
Important Goal ◽  
Evaluation Standards ◽  
And Mathematics

How much is a hundred?” How would your students respond to such a question? This article shares the experiences of my first graders as they participated in activities that develop number sense to answer this question. Teaching number sense to students in grades K–4 is an important goal of the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). The following activities are based on the Standards in many ways. They require problem solving, reasoning, communicating, and connecting mathematics to everyday situations that interest children. They provide opportunities to develop measurement and place-value concepts and to integrate reading, writing, drawing, and mathematics in ways that contribute to a cooperative learning environment.

IDEAS

1992 ◽  
Vol 39 (6) ◽  
pp. 32-39
Author(s):  
Lisa M. Passarello ◽  
Francis (Skip) Fennell
Keyword(s):  
Problem Solving ◽  
Number Sense ◽  
Mathematics Learning ◽  
School Mathematics ◽  
Grade Levels ◽  
Or Groups ◽  
And Mathematics ◽  
Parent Child ◽  
At Home ◽  
A Performance

This month's IDEAS emphasizes connections between science and mathematics by using a performance-, or authentic-, asessment format. The month of February is close to the heart of many students and teachers. The activity sheets and the extensions offer a different approach to the valentine month. Students have the opportunity to explore applications involving their own personal valentine—the heart. The activities involve number sense, problem solving, measurement, and statistics. Additionally, this month's IDEAS involves a variety of important mathematics concepts and ideas in a performance-based setting. The activity sheets are designed to be used in multiple grade levels. The activity sheets can be completed by individual students or groups of students. The at-home-activity sheet is designed to connect school-mathematics learning with the home. Encourage students to complete this activity sheet as a parent-child experiment.

A Popcorn Project for All Students

1997 ◽  
Vol 90 (3) ◽  
pp. 194-200
Author(s):  
Lydotta M. Taylor ◽  
Joann L. King
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Real World ◽  
Data Gathering ◽  
School Mathematics ◽  
Combine Data ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
Mathematical Connections ◽  
Reasoning Problem

The NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) encourages teachers to include activities that help students “construct and draw inferences from charts, tables, and graphs that summarize data from real-world situations” (p. 167) and “express mathematical ideas orally and in writing” (p. 140). The following activities combine data gathering and analysis with cooperative learning, mathematical connections, reasoning, problem solving, and communication.

Pixy Stix Segments and the Midpoint Connection

1993 ◽  
Vol 86 (8) ◽  
pp. 668-675
Author(s):  
Ruth McClintock
Keyword(s):  
High School ◽  
Problem Solving ◽  
Cooperative Learning ◽  
Communication Skills ◽  
School Mathematics ◽  
Peter Pan ◽  
Evaluation Standards ◽  
High School Geometry ◽  
Mathematical Connections ◽  
School Geometry

The NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) offers a vision of mathematically empowered students embarking on exciting flights of discovery. This vision challenges teachers to look for ways to incorporate problem solving, cooperative learning, mathematical connections, reasoning, communication skills, and proofs into lesson plans. The Pixy Stix activities described in this article are not quite as magical as Peter Pan and Tinkerbell's prescription of sprinkling pixie dust over children who want to fly, but they do embody all the attributes mentioned above and may enable your high school geometry students to take off in some surprising directions.

Building number sense with Lego® robots

2016 ◽  
Vol 23 (5) ◽  
pp. 310-312 ◽  
Author(s):  
Krista Francis ◽  
Michael Poscente
Keyword(s):  
Problem Solving ◽  
Learning Environment ◽  
Number Sense ◽  
Student Interest ◽  
Mathematical Learning ◽  
Introductory Programming ◽  
Problem Solving Skills ◽  
Link Type ◽  
Science Technology ◽  
And Mathematics

Lego Mindstorms™ robotics quickly draws children in and provides ample opportunities for engaging them in robust mathematical learning. Two introductory programming tasks empower children to use their creativity and problem-solving skills to build number sense in a fun, engaging learning environment. Contributors to the iSTEM (Integrating Science, Technology, Engineering, and Mathematics) department share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K–grade 6 classrooms. Send submissions of no more than 1500 words to this department by accessing http://tcm.msubmit.net. See detailed submission guidelines for all departments at http://www.nctm.org/WriteForTCM.

Developing Sense About Numbers

1993 ◽  
Vol 40 (5) ◽  
pp. 279-284 ◽  
Author(s):  
Carole Greenes ◽  
Linda Schulman ◽  
Rika Spungin
Keyword(s):  
Problem Solving ◽  
Number Sense ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Grade Levels ◽  
Mathematics Curricula

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) identifies number sense as one of the major standards of the K–4 curriculum and recommends that mathematics curricula at these grade levels develop students' number-sense skills. For grades 5 to 8, the standards document states that students' abilities to identify numerical relationships are central to their understanding of numeration concepts and to their judgment of the reasonableness of answers in problem-solving situations. But what is number sense? And how can it be developed?

Pengaruh Penerapan Strategi Pemecahan Masalah dalam Pembelajaran Kooperatif Pendekatan Struktural Think Pair Share (TPS) Terhadap Hasil Belajar Matematika Siswa Kelas VIII SMP Negeri 14 Pekanbaru

2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Atma Murni ◽  
Rini Dian Anggraini ◽  
Sakur
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Research Design ◽  
Mathematics Learning ◽  
Learning Outcome ◽  
Structural Approach ◽  
Comparison Research ◽  
And Mathematics ◽  
Problem Solving Strategy ◽  
Solving Strategy

Tujuan dari penelitian ini adalah untuk mengetahui pengaruh penerapan Strategi Pemecahan Masalah dalam pembelajaran kooperatif pendekatan struktural Think Pair Share (TPS) terhadap hasil belajar matematika siswa kelas VIII SMP Negeri 14 Pekanbaru. Penelitian ini menggunakan desain penelitian pra eksperimental menggunakan desain penelitian perbandingan kelompok statis. Instrumen pengumpulan data meliputi tes keterampilan mahematika awal dan tes hasil belajar matematika. Data dianalisis menggunakan uji t. Hasil penelitian ini menunjukkan bahwa terdapat pengaruh strategi pemecahan masalah dalam pembelajaran kooperatif pendekatan struktural Think Pair Share (TPS) terhadap hasil belajar matematika siswa kelas VIII SMP Negeri 14 Pekanbaru.   The aim of this study was to know the influence of Problem Solving Strategy implementation in cooperative learning of structural approach Think Pair Share (TPS) to mathematics learning outcome of VIII class students of SMP Negeri 14 Pekanbaru. This study use pre experimental research design using The static group comparison research design. The instruments of  data collection include early mahematics skills test and mathematics learning outcome test. Data were analyzed using t test. The result of this study showed that there is influence of problem solving strategy in cooperative learning of structural approach Think Pair Share (TPS)  to mathematics learning outcome  of  VIII class students of SMP Negeri 14 Pekanbaru

IDEAS

1992 ◽  
Vol 40 (4) ◽  
pp. 215-225
Author(s):  
Barbara E. Moses ◽  
Linda Proudfit ◽  
William R. Speer
Keyword(s):  
Problem Solving ◽  
Evaluation Standards ◽  
Classroom Activities ◽  
Grade Levels ◽  
Parents And Children ◽  
The Creation ◽  
And Mathematics

The “IDEAS” section for this month focuses on connections between mathematics and music. including both the interpretation of music and the creation of music and musical tones. Music is very special. As a child listens to music, he or she may feel happy and want to smile or may feel a beat and want to clap or dance or may feel contemplative and want to think or write down some thoughts. The activities offer a variety of classroom happenings that tie together a student's perception of music and some important strands of mathematics. The visions of the Curriculum and Evaluation Standards (NCTM 1989), including mathematics as communication, mathematics as reasoning, and mathematics as problem solving, are an integral part of these activities. Other emphasized standards are those on estimation, measurement. statistics, fractions, and patterns. The reproducible sheets for the “IDEAS” section are designed to be used by multiple grade levels. Included are four classroom activities and an activity sheet that involves parents and children in listening together to the radio.

Applying Number Sense to Problem Solving

1989 ◽  
Vol 36 (6) ◽  
pp. 22-25
Author(s):  
Barbara J. Dougherty ◽  
Terry Crites
Keyword(s):  
Problem Solving ◽  
Classroom Practice ◽  
Number Sense ◽  
School Mathematics ◽  
Mathematics Program ◽  
Problem Solving Process

NCTM's Commission on Standards for School Mathematics (1987) has identified problem solving and number sense as important components of an effective mathematics program. This emphasis is generating attempts to understand the problem-solving process better and to incorporate the results into classroom practice. In keeping with the thrust, this article discusses the interrelationships between problem solving and number sense in light of difficulties experienced by students participating in the problem-solving 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.

Implementing the Standards: Uses of Technology in Prealgebra and Beginning Algebra

1990 ◽  
Vol 83 (3) ◽  
pp. 194-198
Author(s):  
M. Kathleen Heid
Keyword(s):  
Problem Solving ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Mathematics Classrooms ◽  
Beginning Algebra ◽  
Grade Levels ◽  
Mathematical Connections

The NCTM's Curriculum and Evaluation Standards for School Mathematics (Stan dards) (1989) designates four standards that apply to all students at all grade levels: mathematics as problem solving, mathematics as communication, mathematics as reasoning, and mathematical connections. These and NCTM's other standards are embedded in a vision of technologically rich school mathematics classrooms in which students and teachers have constant access to appropriate computing devices and in which students use computers and calculators as tools for the investigation and exploration of problems.

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