forall x: Introductory Textbook in Formal Logic
This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading.
A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.
Mathematics Under the Microscope
This book inevitably asks the question "How does the mathematical brain work?" The author tries to reflect on the explosive development of mathematical cognition, an emerging branch of neurophysiology which purports to locate structures and processes in the human brain responsible for mathematical thinking. PDF file.
Elementary Number Theory
Elementary Number Theory textbook, available in postscript, pdf, and latex formats.
Elementary Abstract Algebra
This book is intended for a one semester introduction to abstract algebra. Available in postscript, pdf, and latex formats.
MathHelp Notebook on Probability
This online tutorial serves as an introduction to probability by examining discrete and continuous probability, the mean or expected value of a variable given its probability, and how to calculate its standard deviation. It provides definitions, examples of discrete probability distributions, random variables, continuous distributions, and a quiz.
MathHelp notebook on Equations and Functions
This online tutorial provides an overview of equations and functions. It includes information on manipulating equations, choosing variables, and using functions. A summary of equations and functions as well as a quiz are provided to ensure content comprehension and provide practice solving equations.
Rainbow Milk
Developed for first grade. Students will actively mix three colors of food coloring with dish liquid detergent in a bowl of milk. They will hypothesize, and then observe the effects and record their findings. Students will also discuss the sense of sight, and the importance of milk and dairy to good health.
Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on t
Montessori Activities: Maths
Preliminary math activities to promote learning about numbers, size and colors. Indirect Preparation for numeracy which is an awareness of cardinal numbers, ordinal numbers, numerals, one to one correspondence, sequencing and tally counting. Also concepts of size, length, area and volume. These activities are suitable for beginning mathematicians as well as infants, toddlers and 3 - 6 year olds.
Higher Secondary Mathematics
This course discusses the following concepts: bases and indices; fractional indices; zero and negative indices; exponential equations; definition and laws of logarithms; equations involving logarithms; introduction to surds; linear equations and simultaneous equations.
Biodome
Developed for the second grade. A biodome is a self-sustaining habitat for plants. Students will make a biodome in a recycled soda bottle and watch as their seeds grow. Students will observe and understand how the water in the biodome continues to recycle itself through condensation and evaporation.
Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teach
Balloon Lungs
Developed for third and fourth grade. Students will understand how their lungs work. They will understand what lung capacity is and be able to measure their own. They will test for a relationship between their lung capacity and their height.
Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teaching of biology at the elementary level. Unless otherwise no
Amazing Bean Races
Developed for fifth grade and above. Primary biological content area covered:; Plant growth; Seedling morphology; Hypothesis testing; Experimental design; Line graphing; Introductory statistics.
Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teaching of biology at the elementary level. Unless otherwise noted, the lesson plans have been tried at least
Science of Sound
Welcome to Science of Sound. This course is offered as a regular class Fall Semesters on the USU campus in Logan, Utah. It is also available over the internet Fall, Spring, and Summer semesters, or as a yearlong independent-studies course. In each case, work is submitted using the internet. The only difference in the regular class held Fall semester is that students meet with the professor three times a week to discuss the material in the text. A teaching assistant is assigned to answer question
Ladybug Revolution
Join the ladybug in an exploration of rotational motion. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. Explore how circular motion relates to the bug's x,y position, velocity, and acceleration using vectors or graphs.
Torque
Investigate how torque causes an object to rotate. Discover the relationships between angular acceleration, moment of inertia, angular momentum and torque.
Curve Fitting
With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, cubic, or quartic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters.
Plinko Probability
Play Plinko and develop your knowledge of statistics. Drops balls through a triangular grid of pegs and see the balls random walk through the lattice. Watch the histogram of final positions build up and approach the binomial distribution.
Resistance in a Wire
Learn about the physics of resistance in a wire. Change its resistivity, length, and area to see how they affect the wire's resistance. The sizes of the symbols in the equation change along with the diagram of a wire.
Estimation
Explore size estimation in one, two and three dimensions! Multiple levels of difficulty allow for progressive skill improvement.
