Hailed as “the granddaddy of educational games”, this is the original 1961 classic that teaches propositional logic and develops careful reasoning skills. Reviewers say WFF ‘N PROOF “has the complexity of chess and the excitement of poker”. It was the first resource allocation game – a format in which players explore diverse, creative ways of using fundamental concepts. WFF ‘N PROOF is a subtle sequence of twenty-one game levels with increasing challenge and sophistication. The beginning levels are speed games that can teach six-year olds how to recognize WFFs. (WFFs are Well Formed Formulas – expressions that are to symbolic logic what sentences are to English). Advanced games deal with the rules of inference, logical proof and the nature of formal systems, and will challenge intelligent adults.

Studies have shown that summer school classes playing WFF ‘N PROOF intensively for three weeks experienced an average increase in IQ scores of 21 points. The game dramatically improves problem-solving skills, higher order thinking, and abstract reasoning. For people who like to think, WFF 'N PROOF means fun for the whole family.

EQUATIONS, called “that peerless math game” by critics, was the first game adapted from the WFF ‘N PROOF resource allocation format in 1962. Forty years of research and testing have extended the range of this joyful learning tool to become the centerpiece of the Instructional Gaming Program in schools.

Studies have shown that classroom EQUATIONS tournaments can double math achievement and reduce absenteeism in urban schools by 2/3. Research demonstrates that EQUATIONS develops skills far beyond “drill and practice” computation. It cultures the critical problem-solving abilities needed to recognize and apply fundamental concepts.

At home, EQUATIONS lets the whole family share a quality learning experience and have fun too. People of all ages become fascinated by this game. It creates a rich problem-solving interaction filled with complex strategy, bluffing and intrigue. The basic game can be taught to eight-year olds using simple arithmetic. As players develop skill, the game becomes more sophisticated. It ultimately expands to concepts that will challenge any intelligent adult.

EQUATIONS explores a broad range of math topics including elementary arithmetic operations such as addition, subtraction, multiplication, division, exponentiation and root operation as well as logarithms, fractions, decimals, percents, variables, algebra, functions and more.

Computer versions of EQUATIONS teach a wide range of curriculum topics in the context of the game (see the DIG MATH Program and EQUATIONS Challenge Matches below.) FREE Preview Copies of these programs can be downloaded from this site along with an Introduction to EQUATIONS program that teaches the game.

A NEW DVD called “How to Play EQUATIONS” is included in the deluxe version of the game (for only $5) and is highly recommended. This DVD is the easiest way to learn to play by following along with an actual teaching session in a sixth grade class. If you are new to these games, we suggest starting with the deluxe DVD version – the rules for EQUATIONS are similar to many other games in the series including: WFF ‘N PROOF, ON-SETS, ON-WORDS and LinguiSHTIK

In the DIG Math (Diagnostic Instructional Gaming) Program, a solitary user plays against the computer in carefully designed EQUATIONS matches. The machine plays as an expert teacher, making moves that lead users to discover and apply a specific math concept in each match. The program includes individualized diagnosis, lessons, and more than a thousand individual matches covering concepts from arithmetic through algebra. When used with classroom EQUATIONS tournaments or extended home play, the DIG Math Program offers an encyclopedic source for learning new strategies and advanced math concepts. It dramatically accelerates the mastery and spread of new ideas in any gaming group. DIG Math is a powerful demonstration of the tremendous range and depth of EQUATIONS as a teaching tool.

The program is offered in a DOS version that will run on any Windows-based PC. The graphics are simple (the original program was designed to fit in a 48K Apple II) however, DIG Math is a captivating example of the power of emphasizing substance over flash.

The EQUATIONS Challenge Matches Program allows two or more users to play against each other with the computer coordinating the match as guide, gameboard, coach, referee, and tutor. Challenge Matches reveal the richness of EQUATIONS by showing users how a wide variety of concepts that can be applied in each match.

The program includes a solitaire “Research Mode” that allows a player to investigate the full range of the possible solutions in each match. The player conducts experiments, and by carefully analyzing the results, discovers clues to the identity of the resources used in the remaining unknown solutions. The “Research Mode” is an excellent simulation of scientific method used to deal with an evolving mathematical problem. It inspired the Math/Science Quest for Solutions program – an expanded, online tournament in which teams compete in solving “Research Mode” problems.

The EQUATIONS Challenge Matches Program comes on a single diskette arranged into four groups according to the content explored in the matches. Elementary Matches deal with addition, subtraction, multiplication and division of whole numbers (grades 3 – adults). Intermediate Matches use the arithmetic operations and some exponents with whole numbers, integers, fractions, decimals and percents (grades 6 – adults). Advanced Matches explore exponents, roots, and logarithms with whole numbers, integers, fractions and irrational numbers (grades 7 – adults). Multi-Level Matches contain material from all the above levels.

The program is delivered in a DOS version with simple graphics that will run on any Windows-based PC.

This video is the easiest way to learn to play EQUATIONS: The Game of Creative Mathematics. It is also a good introduction to the general game rules shared by all resource allocation games (WFF ‘N PROOF, ON-SETS, ON-WORDS, and LinguiSHTIK).The presentation captures a live training session between Layman G. Allen (son of the author) and a class of sixth grade students learning EQUATIONS for the first time. Follow along with the class – equally good for home use or teachers starting a new group.

Before the age of bits and bytes and the interminable joys of “technical support”, IMP kits provided the first simulated opponent for teaching math concepts through EQUATIONS in pamphlet form. Each of these 21 “kits” is an individual EQUATIONS match designed to teach one powerful concept dealing with the fundamental relationships between the arithmetic operations (addition, subtraction, multiplication, exponentiation, root operation). The pamphlet responds to all possible moves that the user can make in a manner that focuses the match on the targeted idea. IMP Kits are useful for home or class situations where computers are not always available.

ON-SETS is an exciting and colorful resource allocation game that teaches set theory - the foundation of modern mathematics. Using game rules similar to EQUATIONS, players in ON-SETS explore the concepts of union, intersection, difference of sets, complement of a set, set identity, set inclusion and the null and universal sets. ON-SETS captures the same creative problem-solving and strategic intrigue as EQUATIONS and WFF ‘N PROOF. The basic game can be taught to six-year olds. As players develop skill, it becomes more sophisticated and ultimately expands to levels that will challenge intelligent adults. The complete set involves thirty different game levels. The whole family will enjoy exploring this fascinating approach to learning the fundamental ideas behind all mathematics.

CONFIGURATIONS is a series of geometric puzzles based on Harold L. Dorwart’s book, “The Geometry of Incidence”. Mr. Dorwart was the Seabury Professor and Chairman of the Mathematics Department at Trinity College in Hartford, Connecticut. One reviewer declared: “Professor Dorwart employs his high competence as a mathematician and as a teacher to guide the willing and diligent traveler along a simple yet elegant road through geometric country that is rich in rewards of beauty, excitement, surprise, amusement, delight, and illumination.” It is the perfect gift for those who a intrigued by solitaire games involving careful reasoning.

Probaddility is an engaging card game dealing with probability and simple addition. Players make educated bets about the likely numbers hidden under opponents cards and win or lose cards depending on the accuracy of their predictions. A fun and engaging introduction to these basic concepts.

The REAL NUMBERS game was designed as a prelude to EQUATIONS. It comes in a handy 5-game kit that can be clipped to a pen in your shirt pocket. The REAL NUMBERS Game provides a practical introduction to the process of finding Solutions from randomly generated symbols similar to what occurs in EQUATIONS. The REAL NUMBERS Game deals with real, rational, irrational, integer, and natural numbers.

WFF includes the first two games from the complete WFF ‘N PROOF series. Two engaging speed games allow players to learn to recognize WFF’s (Well Formed Formulas) in symbolic logic. Both Shake-a-WFF and Count-a-WFF are fast-paced, exciting games dealing with a unique symbolic system. They are an appealing exercise for all ages.

The Video Professional Development Course is a complete guide to using EQUATIONS classroom tournaments as a regular part of the curriculum. The course includes a detailed introduction to the philosophy, materials and methods for conducting classroom tournaments and the advanced scoring systems, game rules and software used to focus on specific curriculum objectives from elementary arithmetic through algebra. The presentation captures an actual live professional development program conducted with sixth grade teachers and district mathematics coordinators. This excellent and comprehensive course also includes detailed written outlines of all lectures as well as master copies for all forms, tournament seating charts, score sheets, student newsletters, advanced scoring charts and rules descriptions. A complete curriculum package for one of the most innovative and effective approaches to teaching mathematics ever developed.

The Classroom EQUATIONS Set contains all the materials needed to conduct classroom tournaments with up to 36 students at a time. Included are: 12 sets of EQUATIONS cubes, game boards, timers and table cards. 4 EQUATIONS rule books. 5 class tournament seating charts with student/team cards (for teachers with up to 5 classes), Master copies of score sheets, tournament team sheets, newsletter template, EQUATIONS game rules and flub summary sheet for students, revised Adventurous Rules list, and 4+ Scoring explanation and charts. Set also includes one copy of the "Learning to Play EQUATIONS" DVD and printed lesson plan outline "A Sample Game to Teach EQUATIONS".

Everything fits in a sturdy 12" x 9" x 5" box -- compact and convenient. Save $61 off the regular retail price for 12 EQUATIONS games - a 17% discount plus all the added teaching materials.

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