MATH 125: Computer-assisted problem solving in mathematics Taught in computer classroom PH 324 Mathematica-based Paperless environment Electronic worksheets.

Slides:



Advertisements
Similar presentations
How do we work in math lessons?. Maths is taught from 1-12 forms in Lithuania. At 10 grade students must take the compulsory test of mathematical knowledge(achievements).
Advertisements

ANALYSIS OF A FOOTBALL PUNT David Bannard TCM Conference NCSSM 2005.
Advanced Algebra/Pre-calculus Advanced Functions and Modeling Math Analysis AP Statistics Statistics and Probability/Discrete Math.
Welcome to Geometer’s Sketchpad Please place a sticker on the graph… I’d greatly appreciate a helpful, quick glance of our experience in the room.
Do Now: Choose One 1) List the three major kinematic equations 2) Define displacement, velocity and acceleration using complete sentences.
Guiding Questions When does algebra come about in your day-to-day life? Why is it important to understand these algebraic concepts? How can solving systems.
Project Lead the Way An Orientation American High School.
Making Calculus Come Alive using Dynamic Visualization.
STEM Program Department of Math and Computer Science Lansing Community College Prof. Jing Wang, Ph. D.
Chapter 24 Gauss’s Law.
Chapter 24 Gauss’s Law.
COMP1261 Advanced Algorithms n 15 credits, Term 1 (Wednesday 9-12) n Pre-requisites: Calculus and Mathematical Methods, Numerical Mathematics and Computer.
Computer Science - I Course Introduction Computer Science Department Boston College Hao Jiang.
Slide 1Physics L 1Frank Sciulli Introductory Physics Courses Designed for Engineering and Science Students l Three different introductory sequences.
Plan for today Discuss your assignments detailed on the last slide of the powerpoint for last week on: –Topics/problems in which you are most interested.
Iterative Methods for Solving Linear Systems of Equations ( part of the course given for the 2 nd grade at BGU, ME )
Approaches to Representing and Recognizing Objects Visual Classification CMSC 828J – David Jacobs.
8/27/2014PHY 711 Fall Lecture 11 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 1: 1. Welcome &
Desmos Online Graphing By Kyle Brees. About Desmos Desmos is an online graphing tool that is free to everyone. You can do a number of graphs at a time.
Applications of Calculus. The logarithmic spiral of the Nautilus shell is a classical image used to depict the growth and change related to calculus.
SKETCHPAD by: Matea Ugrica. SKETCHPAD interactive geometry software for exploring Euclidean geometry, algebra, calculus and other areas of mathematics.
ACA 2014 Applications of Computer Algebra Session: Computer Algebra in Education Fordham University New York, NY, USA, July 9-12.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
When we met back in October... Discussion took place: – issues that arise from doing group work – encouraging students to talk – spreading this practice.
Charles Koppelman Office:Math and Statistics, 018 Phone: Website:
1 Amador Valley High School Mathematics Offerings for Current Students.
Circuit Construction Kit Projectile Motion Simulator.
Infinities 6 Iteration Number, Algebra and Geometry.
Naturally Algebra G. Whisler. (c) MathScience Innovation Center, 2007 NATURALLY ALGEBRA.
Overall, the article talked about the basic requirements a person who is interested in becoming an architect would need to meet, such as: – Math – Science.
GeoGebra Workshop GCCTM Meeting Dr. Joanne Goodell Cleveland State University September 13, 2010.
CSE 3802 / ECE 3431 Numerical Methods in Scientific Computation
Technology in Math and Science Maria Rojas Angela Cyrus Jennifer Sepulvado.
–1 –2 We’ve plotted points on graphs before… Plot the following points on the empty grid at the top of your worksheet.
Introduction Examples of differential equations and related problems Analytical versus numerical solutions Ideas of numerical representations of solutions.
Computer Graphics: Programming, Problem Solving, and Visual Communication Steve Cunningham California State University Stanislaus and Grinnell College.
The Pluses and Minuses of Technology in a Math Classroom Madeline Dillner.
Fractals and fractals in nature
Slide 6- 1 What you’ll learn about Differential Equations Slope Fields Euler’s Method … and why Differential equations have been a prime motivation for.
Teaching and Learning in the STEM Disciplines Bill and Dot Moss Department of Mathematical Sciences College of Engineering and Science Clemson University.
AS Mathematics Algebra – Graphical solution of quadratic equations.
1 Beginning & Intermediate Algebra – Math 103 Math, Statistics & Physics.
CHAPTER 0 Preliminaries Slide 2 © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 0.1THE REAL NUMBERS AND THE CARTESIAN.
Logger Pro Video Analysis: Integrating Technology into Science and Math Curricula Monday, January 4, 2016 Kathy Goepfert: Physics Teacher ORHS
Grade 9 Parents Night Grade 9 Applied Math. Philosophy Create a supportive, structured classroom environment Build student confidence in Math Use hands-on.
Why would a chemical engineer use maths? By Anna Olorunniji.
ME451 Kinematics and Dynamics of Machine Systems Dynamics of Planar Systems December 9, 2010 Solving Index 3 DAEs using Newmark Method © Dan Negrut, 2010.
Microsoft Mathematics 4.0 October 8 th, 1 P.M. Andy Imm.
Game City In this project you will learn the basics of visual programming to start creating your own games. The tool you will be using to do this is Microsoft.
A molecule slows down during fibril growths Motion of a molecule toward a growing fibril.
Quadratic Regression By, Tyler Laufersweiler. Quadratic Regression Title: Finding the equation of curves throughout life using quadratic regression This.
Western Oregon University's Middle School Mathematics Focus Laurie Burton, Maria Fung & Klay Kruczek MAA Session on Content Courses for the Mathematical.
Computer – Aided Design Terminology You must have a generic understanding of commands and techniques which are used in a number of packages (YOU CANNOT.
A Primer on Chaos and Fractals Bruce Kessler Western Kentucky University as a prelude to Arcadia at Lipscomb University.
The Goal of Science To create a set of models that describe the measurable universe. These models must – Fit previous verified measurements applicable.
Beginning 1956  Associate of Science Degree included 27 credits of mathematics  Math 12 Plane Trigonometry  Math 13 Analytical Geometry  Math 91 Calculus.
Math Linear Algebra Introduction
Computer Graphics.
3.2 Solve Linear Systems Algebraically
Chapter 0 The Course Plan.
Chapter 0 The Course Plan.
y = B t - 1, x = t - 9 are the parametric equations of the curve
Use power series to solve the differential equation. {image}
Solve the differential equation. {image}
Geogebra: Dynamic Math Worksheets for the K-12 Classroom
Parametric Equations.
College Algebra Chapter 5 Systems of Equations and Inequalities
y = C t - 1, x = t - 6 are the parametric equations of the curve
3-3 Systems of Inequality
Using The Maple Technology to Connect Mathematics and Art
Presentation transcript:

MATH 125: Computer-assisted problem solving in mathematics Taught in computer classroom PH 324 Mathematica-based Paperless environment Electronic worksheets and exams

Projects (adapted from Rose-Hulman) Dragstik Stick is attached to wheel rolling along floor. Represent by parametric curve. Analyze motion, velocity, acceleration

Ballpark Design the outfield fence so that the field does not favor any particular angle

Rock Out At an outdoor concert, three rock bands play at varying levels. Goal: to find the quietest spot in the triangle between the bands.

Comments Students took longer on exams Immediate feedback on solutions Students came to class early & stayed late Different ways of learning successful

First Year Seminar Fractals: The Geometry of Nature

Examples of fractals

Natural fractals

Natural fractals??

Iteration Fractals are created by iterative procedures, often many thousands of iterations. A computer helps! The chaos game tal/software/ tal/software/

Fractal forgeries FDesign software FRACTAL FORGERY PROJECT: Try making an IFS image of a picture of a natural object of your own choosing. Leaves, flowers, broccoli and cauliflower all work well. You can construct the blueprint either by hand (make a sketch of the objects edge and then cut smaller copies, arranging them to mostly cove the image), or using a computer program. Use FDesign or Frame’s Random IFS to generate your final image. Record the transformations used.

MATH 10 College Algebra Mark McCombs/FITAC grant Course well-suited to self-paced learning Website: ombs/web/alg/collegealgebra.htmlhttp:// ombs/web/alg/collegealgebra.html Expansion planned

Other courses Calculus: planning possible lab component Multivariable calculus: to aid 3-dimensional visualization Differential equations Symmetry seminar Non-Euclidean geometry Linear algebra Other software: MATLAB, Maple, Geometer’s Sketchpad