Teaching Chapter 11

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T

ECHNOLOGY AND

L

EARNING

W

ITH

T

ECHNOLOGY IN

M

ATHEMATICS AND

S

CIENCE

I

NSTRUCTION

Chapter 11

By: Gabby Benningfield & Casey

Hunt

1. While these tools are usually used more at the elementary level, researchers report that they can also improve high school students’ attitudes towards mathematics.

A. Virtual manipulates C. Calculator-based labs

B. Graphing calculators D. Computer-based tutoring

2. Without this technology tool, it is difficult, if not impossible, for students to move from the symbolic realm of f(x)=x2-3 to the equivalent graphical rendering on an x-y coordinate to its accompanying numerical representation.

A. Virtual manipulative C. Graphing calculator

B. Mathematical simulation D. Geometry software

3. These programs allow users to create and manipulate geometric constructions.

A. Calculator-based laboratory (CBL) C. Interactive or dynamic math manipulates

B. Computer algebra system (CAS) D. Interactive or dynamic geometry software

4. This software is often used to facilitate activities such as planning a fund-raising activity or analyzing data from students’ counts of colors in a bag of M&Ms or other candies.

A. Graphing calculators C. Probeware

B. Counting software D. Spreadsheets

5. Through virtual schools propose that these can be effective, some science organizations object to them as poor substitutes for “the real thing.”

A. Virtual manipulates C. Distance mentors

B. Distance education courses D. Virtual science labs

http://www.youtube.com/watch?v=Ik1BuiLy

MkY

I NTEGRATING T ECHNOLOGY F OR M ATH

Bridging the gap between abstract and concrete with virtual manipulatives

Benefits:

Abstract mathematics concepts more concrete

Flexible environments that allow exploration

Concrete representations of abstract concepts

I NTEGRATING T ECHNOLOGY F OR M ATH

Allowing Representation of Mathematical

Principles

Benefits:

Visual depiction of abstract math concepts

Environment that allows exploration

Graphing Calculators

Interactive or dynamic geometry software

Computer algebra system (CAS)

I NTEGRATING T ECHNOLOGY F OR M ATH

Supporting Mathematical Problem Solving

Benefits:

Gather data to use in problem solving

Rich, motivating, problem-solving environments

Opportunities to apply knowledge and skills

Calculator-based laboratories (CLBs. or probeware)

I NTEGRATING T ECHNOLOGY F OR M ATH

Implementing Data-Driven Curricula

Benefits:

Easy access to many data sets

Real data and statistics to support investigations

Develop skills in data analysis

Allow exploration and presenting data

I NTEGRATING T ECHNOLOGY F OR M ATH

Supporting math-related communications

Benefits:

Easy contact with math experts

Promotes social interaction

Teacher connection

I NTEGRATING T ECHNOLOGY F OR M ATH

Motivating skill building and practice

Benefits:

Motivation for practicing foundational skills

Guided instruction in a structured environment

Issues and Problems in Science Instruction

-Accountability for Standards in Science

-The Narrowing Pipeline of Scientific Talent

-Increasing Need for Scientific Literacy

-Difficulties in Teaching K-8

-Objections to Virtual Science Labs

Accountability for Standards in Science

•National Science Education Standards (NSES)

•The U.S. Department of Education and the National Science Foundation

Endorse mathematics and science curricula that “promote active learning, inquiry, problem solving, cooperative learning, and other instructional methods that motivate students”

•National Committee on Science Education Standards and Assessment stated,

“school science education must reflect science as it is practiced,” and that one goal of science education is “to prepare students who understand the modes of reasoning of scientific inquiry and can use them”

•To integrate technology in the science classroom on a regular basis, one must understand the meaning of technology in the context of science teaching and learning.

The Narrowing Pipeline of Scientific Talent

•Great concern has grown about America’s ability to compare in science, mathematics, and technology in the future.

•Females and minority students- pursing studies in math, science, and engineering fields.

•Trend could have serious consequences for the long-term economic and national security of our country

Increasing Need for Scientific Literacy

• A need for ALL citizens to be scientifically literate in order to make informed decisions that affect our country’s future.

•American’s economic and environmental progress depends on the character and quality of the science education that the nation’s school provide.

Difficulties in Teaching K-8

•Science is a rapidly changing area

•Elementary education teachers face a greater challenge

•One way to assist teachers in science is through professional development (PD). Online PD opportunities help increase elementary teachers to improve in these important areas. http://www.learner.org

www.bioedonline.org

www.k8science.org

Objections to Virtual Science Labs

•Students need to DO not just see

Hands-on/minds-on science- engaging in in-depth investigations with objects, materials, phenomena, and ideas and drawing meaning and understanding from those experiences.

•Virtual Schools can provide the science without the danger

Technology Integration Strategies for Science Instruction

Technology Integration Strategies

Involving students in scientific inquiry through authentic online projects

Support for specific processes in scientific inquiry

Supporting science skills and concept learning

Engaging students in engineering topics through robotics

Accessing science information and tools

• Internet project provide environments that support all phases of authentic science experience

• Data Loggers

• Helps students locate & obtain info to support inquiry

• Makes data collection & analysis more manageable

• Makes phenomena easier to visualize & understand

• Helps students communicate results of inquires

• Allows students to simulate & model various scientific processes

• Provides opportunities to engage in problem solving

• Gives students experience w/ engineering principles

• Gets students thinking abt engineering careers

• Offers sources of information, lesson plans on science topics

Other science resource websites for teachers

Benefits

• Offers sources of information, lesson plans on science topics

Sample Resources and Activities

Globe Project: GLOBE Program: http://globe.gov

CBLs and spreadsheets

The Exploratorium Museum: http://www.Exploratorium.edu

Poll Everywhere text message

(use cell phones as clickers) http://www.polleverywhere.com

NASA’s Robotics Alliance project: http:robotics.nasa.gov

Telescopes in Education: http://www.telescopesineducation.com

National Science Education Standards http://www.nap.edu

Needs and Challenges in Mathematics and Science Instruction

Technologies are integral part of modern mathematics education and science education because they are essential in the field themselves.

• Mathematics and Science Content Knowledge

-Training the workforce of tomorrow

• Mathematics and Science Pedagogical Knowledge

-Must teach in engaging and motivational, while maintaining effective achievements.

• Mathematics and Science Technological

Knowledge

- Teachers must master the tools of technology

R ELATED W EBSITES

 http://www.nctm.org

National Council of Teachers of Mathematics http://mathforum.org/library

Math Forum at Drexel-Internet Math Library http://education.ti.com/educationportal

Texas Instruments Resources for Educators http://www.mathomatic.org/math

Free Mathomatic computer algebra system http://www.sheppardsoftware.com/science.htm

Free science tutorials and games http://robotics.nasa.gov

International Technology and Engineering Educators

Association http://handsonmindson.org

Science website engaging in in-depth investigations with objects, materials, phenomena, and ideas and drawing meaning and understanding from those experiences.

1. While these tools are usually used more at the elementary level, researchers report that they can also improve high school students’ attitudes towards mathematics.

A. Virtual manipulates C. Calculator-based labs

B. Graphing calculators D. Computer-based tutoring

2. Without this technology tool, it is difficult, if not impossible, for students to move from the symbolic realm of f(x)=x2-3 to the equivalent graphical rendering on an x-y coordinate to its accompanying numerical representation.

A. Virtual manipulative C. Graphing calculator

B. Mathematical simulation D. Geometry software

3. These programs allow users to create and manipulate geometric constructions.

A. Calculator-based laboratory (CBL) C. Interactive or dynamic math manipulates

B. Computer algebra system (CAS) D. Interactive or dynamic geometry software

4. This software is often used to facilitate activities such as planning a fund-raising activity or analyzing data from students’ counts of colors in a bag of M&Ms or other candies.

A. Graphing calculators C. Probeware

B. Counting software D. Spreadsheets

5. Through virtual schools propose that these can be effective, some science organizations object to them as poor substitutes for “the real thing.”

A. Virtual manipulates C. Distance mentors

B. Distance education courses D. Virtual science labs

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