Hi, I'm Robert!

For my fellow teachers, I've constructed a model of teaching that I've summarized as the puncturing of space with pedagogical objects. . .
The term "objects which puncture space" may help solidified one's sense of how pedagogy can be described within its new conceptual framework.
Teachers who see the world in this manner should become more fully invested in the enterprise of teaching and learning.

Teaching Methematics

Handbook

The Euclid Project

Teacher's Manual

The Euclid Project

Student's Manual

An Introduction

to Geometer's Sketchpad

Teaching Mathematics

"Teaching Mathematics Puncturing Space: A Developing Pedagogical Tool" uses a diverse

body of research to clearly introduce important ideas related to learning. Theories from

the fields of neurology and cognitive development about how students obtain, synthesize

and retain information are examined and cohesively presented.

With an in-depth discussion of how educators compete with predictable outside stimuli

as well as with the internal life of the student mind, Dr. Mason explains the idea of

using a combination of objects as pedagogical tools to 'puncture' the learning space to

re-engage the student and to re-establish attentive behavior.

This readable book is valuable to educators in all fields not just to those teaching

Mathematics, and not just to those teaching in lower and secondary schools. Educators

will think carefully and differently about how information is delivered and processed

in the classroom, after reading this book.

S.T.O.R.E.S.

(for teachers)

Structured Teaching of Research and Experimentation

Skills (S.T.O.R.E.S.) science curriculum for elementary

school and middle school students is a process oriented

approach, focusing on classical principles of induction

and deduction, evidence gathering, and hypothesis

building, and empirical testing and refinement of

hypotheses that highlights scientific procedures.

S.T.O.R.E.S.

(for students)

Structured Teaching of Research and Experimentation

Skills (S.T.O.R.E.S.) science curriculum for elementary

school and middle school students is a process oriented

approach, focusing on classical principles of induction

and deduction, evidence gathering, and hypothesis

building, and empirical testing and refinement of

hypotheses that highlights scientific procedures.

Sketchpad Basics

Handbook

Sketchpad Basics Handbook is designed to introduce elementary school and middle school students

and teacher to Geometerâ€™s Sketchpad. The Sketchpad, is a construction tablet on which one draws models of geometric shapes, transforms them, colors them, measures them, and animates them. The models invite students to explore, represent, solve problems, construct, discuss, investigate, describe, and predict. Implicit to these functions is the ability to build mathematical models of simple and complex ideas. The Sketchpad allows students to engage in â€œdoing mathematics,â€ which is emphasized in the National Council of Teachers of Mathematics (NCTM) Standards.

The investigations encourage students to work together in pairs and small groups, and to build on their knowledge by applying their knowledge to new information.

Sketchpad introduced through a series of explorations. All of the explorations are designed specifically to teach how to use the â€œtool box.â€ They represent technical exercises. That is, they teach how to use the drawing tools, and how to use the command menus to accomplish specific task. In some investigations students will replicate as set of instructions and then evaluate their findings. In other activities students are free to create their own investigation.

The Euclid Project

Teacher's Manual

The Euclid Project computer-based geometry program uses a scientific-experimentation approach to

providing middle school students with an intuitive un?derstanding of geometry as a precursor to the formal study of geometry later (e.g., in the 10th grade) and as a mediator for application of geometric understanding in a variety of contexts.

This scientific-experimentation approach to teaching geometry involves pre?senting the students with a mathematical hypothesis

(e.g., a line drawn across two sides of a triangle parallel to the third side divides the first two sides proportionally),

then having them use a “construction tablet” (Logo, Geometer Supposer, Geometer’s Sketchpad computer programs) to systematically

generate a series of cases to test the validity of the hypothesis (e.g., create a triangle and line parallel to a side,

then use animation to gener?ate a series of such triangles to see if the hypothesis holds for all of them).

The Euclid Project

Student's Manual

The Euclid Project computer-based geometry program uses a scientific-experimentation approach to

providing middle school students with an intuitive un?derstanding of geometry as a precursor to the formal study of geometry later (e.g., in the 10th grade) and as a mediator for application of geometric understanding in a variety of contexts.

This scientific-experimentation approach to teaching geometry involves pre?senting the students with a mathematical hypothesis

(e.g., a line drawn across two sides of a triangle parallel to the third side divides the first two sides proportionally),

then having them use a “construction tablet” (Logo, Geometer Supposer, Geometer’s Sketchpad computer programs) to systematically

generate a series of cases to test the validity of the hypothesis (e.g., create a triangle and line parallel to a side,

then use animation to gener?ate a series of such triangles to see if the hypothesis holds for all of them).

An Introduction to

Geometer's Sketchpad

This workbook is designed to introduce elementary school and middle school teachers to Geometer’s Sketchpad.

The Sketchpad, is a construction tablet on which one draws models of geometric shapes, transforms them, colors them, measures them, and animates them. The models invite students to explore, represent, solve problems, construct, discuss, investigate, describe, and predict.

Implicit to these functions is the ability to build mathematical models of simple and complex ideas.

The Sketchpad allows students to engage in “doing mathematics,” which is emphasized in the National Council of Teachers of Mathematics (NCTM) Standards.