Extractions: Travel the World with Timmy Deluxe use simple logical reasoning to develop conclusions, recognizing that patterns and relationships present in the environment assist them in reaching these conclusions Component: Nelson Mandela's Walls Reference: Talking Walls Required: Suggested: Interested: Standard 1 Analysis, Inquiry, and Design : Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions. : Elementary Students: : MATHEMATICAL ANALYSIS : 2. Deductive and inductive reasoning are used to reach mathematical conclusions. Component: Classroom Activities: Russia Reference: Teacher's Guide p. 115-135 Required: Suggested: K-2 Interested: explore and solve problems generated from school, home, and community situations, using concrete objects or manipulative materials when possible Component: Classroom Activities: Russia Reference: Teacher's Guide p. 115-135 Required: Suggested: K-2 Interested: Standard 1 Analysis, Inquiry, and Design : Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions. : Elementary Students: : MATHEMATICAL ANALYSIS : 3. Critical thinking skills are used in the solution of mathematical problems. Component: Classroom Activities: Russia Reference: Teacher's Guide p. 115-135
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Extractions: Project: Curriculum content areas: Goals of the Project: ... Methods of Assessment: Click here for student directions Students in grade seven will participate in collaborative teams which will enable them to gain an appreciation for the innumerable applications of geometry in the world around them. They will have an understanding of the history of geometry and came to appreciate the many professionals who employ geometry in their daily work. In cooperative groups, students will research one or more geometry topics and concepts and present their ideas in a multimedia presentation . This unit is also being adapted for the fifth grade level by Diane Fahrner from St. Raymond's School in Menlo Park, California.
Untangling The Mathematics Of Knots activities with Knots. in the world What is the relationship between mathematicalknots and the knots that are used to tie and fasten things in the real world? http://www.c3.lanl.gov/mega-math/workbk/knot/knactiv.html
Extractions: Knot Observations By making observations about knots, students become acquainted with the idea of knots as a mathematical object A Classroom Menagerie of Mathematical Knots Students explore the structure of knots by making them. Using diagrams as a guide, they learn how knots can be represented on paper. Seifert Surfaces Observing what happens when knots are turned into bubble-makers takes the study of knots in a surprising direction. Are They the Sameor Knot? Determining whether two knots are the same or different is one of the central issues in knot theory . Students make puzzles for one another that explore this. Knot Arithmetic Students experiment with ways that two or more knots can be combined to make a single one. Building Block Knots Can complex knots be described in terms of more simple ones? Students try to find ways to figure out how to do this. Knots in the World What is the relationship between mathematical knots and the knots that are used to tie and fasten things in the real world? Braids and Links Braided rope and knots that are fastened together like the links of a chain also find their way into the study of mathematical knots
Extractions: Exploring Engineering MATHCOUNTS JETS-TEAM NEAS+ ... King's Island Math and Science Day Pre-Admission Activities The College of Engineering supports a variety of pre-college programs designed to introduce young persons to the field of engineering. The information and activities here are designed and intended for prospective students who are currently in Junior and Senior High. Anyone considering transferring to the College of Engineering or entering as a Graduate Student should refer to the appropriate links to the left. Activities for Young Men and Women Opportunities for Junior High and High School men and women to participate in engineering related activities: Women in Engineering and Computer Science Summer Camp 11th and 12th grades ) Open to young women entering their junior or senior year in high school. During this weeklong daycamp, the women learn about the many different engineering disciplines and how they are practiced in the real world. In addition, they will be visiting major companies and organizations to obtain onsite knowledge from working engineers. Students participate in several engineering department hands-on projects such as a bridge building competition and other computer orientation learning sessions. Housing in dorms is available. Super Saturdays Series - Exploring Engineering 6th, 7th, 8th, 9th and 10th grades
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Extractions: Lesson Plans Applications Board Games Organizations Academy Curriculum Exchange (K-5). The Academy Curriculum Exchange offers 32 mini-lesson plans covering various math topics at the elementary school level. Academy Curriculum Exchange (6-8). The Academy Curriculum Exchange offers 13 mini-lesson plans covering various math topics at the middle school level. Academy Curriculum Exchange (9-12). The Academy Curriculum Exchange offers 8 mini-lesson plans covering various math topics at the high school level. Activity Search from Houghton Mifflin. Activity Search from Houghton Mifflin features a curriculum database where the K-8 teachers can search for math lesson plans/activities by grade level. Ancient Egypt Lesson Plans for Teachers. The Detroit Institute of Arts (DIA) provides a variety of cross-curricular lesson plans for grades 4-8 based upon the theme of ancient Egypt. Formath teacher-created plans, click here Apple K-12 Curriculum.
Extractions: An Algebra Introduction Algebra World An Algebra Introduction is designed to cover a large part of the core of middle school math. Equations and their relationship to word problems are emphasized throughout the program. Algebra World is designed to cover a large part of the core of middle school math. Equations and their relationship to word problems are emphasized throughout the program. Algebra World The objective of Algebra World is to master the topics covered in the five main sections. The five sections are: Meets the latest National Council of Teachers of Mathematics (NCTM) standards. Go to Algebra World An Algebra Introduction for a detailed outline of topics covered. School Version with Teacher's Manual Covers topics and concepts essential for advancing on to algebra. Concepts are developed through the use of highly visual interactive explorations which develop life long understanding. The program is kid, parent, and teacher approved. Kids love it because it is fun and makes learning easy. Parents and teachers like it because it ACTUALLY teaches, and does not blast or destroy anything.
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Extractions: The participants will be responsible for developing a mini-course on wetlands for approximately 20 middle school students. The participants will need to develop the topics, outcomes, materials, and instructional plan for the mini-course. The results will be recorded in book form as a teacher's guide. Some of the material should be posted on the Internet. The course is open only to those students who are participating in the Real World Mathematics Project and have successfully completed the previous two components of the project.
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Extractions: Content Areas Guidelines Interactive Projects Related Links Exploring Characteristics of Triangles Students draw triangles and explore the classification of each using the measures of interior angles and lengths of sides. In the extension activities, the students further explore and generalize a formula for the sum of the interior angles of convex polygons. Constructions of Isosceles and Equilateral Triangles Students discuss the difference between drawing and constructing a triangle using The Geometer's Sketchpad. They will further develop constructions for both isosceles and equilateral triangles. In the extension activities, students will script the construction of a right triangle. The Pythagorean Theorem Students create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. These demonstrations are based on proofs by Bhaskara, Leonardo da Vinci, and Euclid. Students will value this activity more if they have already had some experience with the Pythagorean Theorem. Exploring Centers of a Triangle: Part 1 Using problem solving skills, formal geometry, and The Geometers Sketchpad, students will model and solve two real-world problems by constructing the incenter and circumcenter of triangles. Students will further explore relationships between the angle and side bisectors of arbitrary triangles. The author wishes to acknowledge Dr. Billie F. Risacher for providing the real-world scenarios.
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Extractions: See Also UIUC Graduate Program in Mathematics Education Applet of Pythagorean Theorem Proof The NCTM Standards Table of Contents Proposed Illinois State Goals a site that offers lessons and other resources organized by the Illinois State Learning Standards. Illinois State Board of Education now has a web site that includes Learning Standards. The Integrator The power to do integrals as the world has never seen! NCTM Standards American Mathematical Society Homepage : E-Math resource for delivering electronic products and services. CERN Virtual Library Mathematics page DO-IT Program , (Disabilities, Opportunities, Internetwoking and Technology) at the University of Washington. EINET Galaxy Mathematics Page : large unannotated list of math resources. ERIC Clearinghouse for Science, Math and Environmental Education
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Extractions: Teaching with Technology Lesson Plan Preservice Teacher: Kim Walters Mentor Teacher: Dave Rakers Learning Area: Mathematics Grade Level: Technology Entry Skills: Students will need basic knowledge of a keyboard and how to manipulate a mouse. Length of Lesson: 2 weeks Academic Standards and Goals: 6C3a - Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. 6C3b - Show evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/ that estimates are reasonable. 7C3a - Construct a simple scale drawing for a given situation. 10B3 - Formulate questions, gather data, draw conclusions and communicate results to an audience. Overview/Lesson Objectives: Students will work in small groups and prepare for a field trip. They will research and decide on things such as trip route, mode of transportation, cost of trip and how it breaks down into different components, and anything else students think is of importance. Technology Resources: Davidson Math for the Real World Other Materials and Supplies: Pencil Field Trip Activity handouts Road maps Learning Environment/Setting: Classroom with access to computers; computer lab.
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Extractions: Sponsored by Project to Increase Mastery of Mathematics and Science and the Connecticut State Department of Education Print an Application What is Discrete Mathematics Discrete Mathematics is the branch of mathematics that deals with arrangements of distinct objects. One of the primary uses of discrete math is the development of an optimal strategy to solving a problem, such as- What is the best route? What is the least cost? What is the fastest method of sorting? Discrete math topics can be integrated into the regular elementary curriculum and provide activities that engage students in doing math, promote reasoning and representation, and demonstrate many real-world applications of mathematics. Institute Design The institute will include three full day programs, each addressing one of the following topics. Each day will consist of a general session to introduce the topic of the day followed by grade-appropriate implementation workshops. COURSE OFFERINGS Mathematical Modeling with Networks Networks are constructed by connecting a series of points with lines. Networks are very powerful tools for creating mathematical models in a wide variety of situations. They have been used to find the best way to route and schedule Post Office, Fed EX and UPS deliveries, and airlines. Networks are also used by the government and security companies to construct codes that are difficult to break. Participants in this session will begin to explore the diverse topic of vertex-edge graphs (also called networks) and be introduced to some of its applications.
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Extractions: PROBLEM SOLVERS SERIES Each set contains four 15-minute episodes presenting young people involved in solving an interesting yet non-routine problem. Classroom activities and reproducible worksheets will involve students in learning about the problem-solving process. All videos and activities have been extensively classroom-tested and are carefully tied to the NCTM Standards . An informational tape that can be used in teacher education programs is also included in each set. FROM ASTRONAUTS TO ARCHITECTS Viewers are taken on a whirlwind tour through some exciting careers where they see professionals using math on the job. This video reminds viewers that number sense, critical thinking, and reasoning skills are essential in almost every walk of lifefrom cosmetology to computer game programming, fire fighting, engineering, and cooking.
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Extractions: The project utilizes a proven instructional resource, the NSF supported classroom television series The Eddie Files, to bridge the gap between the classroom and the home. Eddie Files episodes are used to demonstrate standards-based teaching to parents, to communicate the value of mathematics competence, and as orientation points for home-based math projects.
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Extractions: At work, students choose from a variety of different jobs at two levels of difficulty. Then its on to sports, hobbies and the shops, keeping in mind that math skills are required all over town. At the office and at the end of every session, printable certificates and status reports are available for record-keeping.
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Extractions: To jump right into fascinating possibilities, browse down the left menu , or keep reading for math teaching ideas. Using resources shown on this site you can: how to make that happen more often that's the question Math learning is an obstacle-course for most. Obstacles terror-producing teaching methods, fuzzy or meaningless explanations, lack of any link between math and real life, a rush into formal math without any physical or pictorial experience, a robotic, imitative, memorized style with little conceptual grounding
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Extractions: Kent School District students in Integrated Mathematics I will be able to apply algebraic topics such as linear equations and graphs, systems of linear equations, and quadratic equations and graphs to solve a variety of problems. They will also apply geometric topics such as transformations, similarity, area, solid geometry, trigonometric ratios, and inductive reasoning to investigate patterns and create mathematical models for real-world situations. Students will also be able to analyze the results of experimental, theoretical, and geometric probability and statistical measures and graphs to draw logical conclusions. Technology will be used regularly by students to confirm work to implement experimentation, and to assist in interpreting results.
