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- Basic Qualitative Foundations
(ISBN 0-7872-3965-8): A fundamental idea of TIMS is that science
deals with variables. Variable identification is a key first step
in any scientific inquiry.
- Basic Quantitative Foundations
(ISBN 0-7872-3966-6): Basic techniques of quantitative data analysis
are described in detail, including an introduction to variables
in an experimental setting, managing experimental error, graphing
techniques, and interpreting graphs.
- The Concept of Length
(ISBN 0-7872-3967-4): Length is a model for many other variables,
so many basic ideas of TIMS are introduced here.
- The Concept of Area
(ISBN 0-7872-3968-2): Techniques for measuring area and the nonlinearity
of some area investigations are discussed.
- The Concept of Volume
(ISBN 0-7872-3969-0): Determination of volume by displacement
as well as by other measurement techniques is discussed.
- The Concept of Mass
(ISBN 0-7872-3970-4): Definitions of mass and the use of the equal
arm balance are discussed.
- Averages
(ISBN 0-7872-3971-2): This tutor explores various averages, including
the mean and the median (the eyeball average). Classroom tips
for teaching various averages are included.
- Simple Proportional Reasoning
(ISBN 0-7872-3972-0): TIMS investigations provide a context for
students to use proportional reasoning in a concrete setting.
This document focuses on simple proportional reasoning as a powerful
technique for mathematical analysis of experimental data.
- Straightening Out the Curve
(ISBN 0-7872-3973-9): Some TIMS investigations explore nonlinear
data. This tutor discusses the mathematical foundations for dealing
with data that is not directly amenable to simple proportional
reasoning.
- The Concept of Velocity
(ISBN 0-7872-3974-7): Velocity is a compound variable, the ratio
of distance to time. As such it requires a new level of understanding.
- The Concept of Force
(ISBN 0-7872-3975-5): An operational definition of force is given,
free body diagrams are introduced, and the use of the force gauge
is discussed.
- The Concept of Inertia
(ISBN 0-7872-3976-3): Aristotles, Galileos, and Newtons understandings
of motion and its cause are discussed. The common misconception
that force and motion are related as cause and effect is debunked.
- The Concept of Work
(ISBN 0-7872-3977-1): The mechanical definition of work is given,
and the meaning of the concept is explored.
- Balanced Forces: Newtons First Law
(ISBN 0-7872-3978-X): A body will not change its motion if the
sum of the forces acting on it is zero. The algebra of balanced
forces is discussed.
- Functions
(ISBN 0-7872-3979-8): Various ways to think about functions are
discussed, including table formulas, rules, graphs, and function
machines. The unifying power of the concept of a function is stressed.
Back to TIMS Laboratory Investigations Home Page
Copyright © 1997 by Kendall/Hunt Publishing Company
Copyright © 1999 Institute for Mathematics and Science Education.
All rights reserved.
UICUniversity of Illinois at Chicago
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