Geometry, Iteration, and Finance
A. Landy Godbold, Jr.
	Relation of calculation of balances to transformations on the number line.
	(889, 1996)  646 - 651

Guidelines for Teaching Plane Isometries In Secondary School
Adela Jaime and Angel Gutiérrez
	Connecting Research to Teaching.  Isometries as a link for different branches of 
	mathematics or for mathematics and other sciences.
	(88, 1995)  591 - 597

Geometric Transformations - Part 1
Susan K. Eddins, Evelyn O. Maxwell, and Floramma Stanislaus
	Activities.  Opportunities to become familiar with translations, rotations, and 
	reflections.
	(87, 1994)  177 - 181, 187 - 189

Geometric Transformations - Part 2
Susan K. Eddins, Evelyn O. Maxwell, and Floramma Stanislaus
	Activities.  Coordinate approaches to transformations utilizing matrices.
	(87, 1994)  258 - 261, 268 - 270

Reflections on Miniature Golf
Nancy N. Powell, Mark Anderson, and Stanley Winterroth
	A transformational geometry project involving the designing of holes for miniature 
	golf courses.
	(87, 1994)  490 - 495

Integrating Transformation Geometry into Traditional High School Geometry
Steve Okolica and Georgette Macrina
	Moving transformation geometry ahead of deductive geometry.
	(85, 1992)   716 - 719

Line and Rotational Symmetry
Nancy Whitman
	Activities for introducing the concepts of line and rotational symmetry.
	Includes some investigations of quilt patterns.
	(84, 1991)  296 - 302

An Application of Affine Geometry
Thomas W. Shilgalis
	A discussion of affine properties and the use of affine concepts in
	obtaining geometric results.  
	(82, 1989)    28 - 32

Which Method Is Best?
Edward J. Barbeau
	Synthetic, transformational, analytic, vector, and complex number
	proofs that an angle inscribed in a semicircle is a right angle.
	(81, 1988)    87 - 90

Elementary Affine Transformation Models
James B. Barksdale, Jr.
	An analytic approach to some algebraic problems.
	(81, 1988)    127 - 130

Reflection Patterns for Patchwork Quilts
Duane DeTemple
	Forming patchwork quilt patterns by reflecting a single square back
	and forth between inner and outer rectangles.  Investigating the
	periodic patterns formed.  BASIC program included.
	79, (1986)  138 - 143.

Reflective Paths to Minimum-Distance Solutions
Joan H. Shyers
	The uses of reflections in order to find paths of minimum length.
	79, (1986)  174 - 177, 203

The Bank Shot
Dan Byrne
	Geometry of similar triangles and reflections applied to pool.
	79, (1986)  429 - 430, 487.

Where Is the Ball Going?
Jack A. Ott and Anthony Contento
	Examination of ball paths on a pool table.  BASIC routine included.
	79, (1986)  456 - 460.

Reflections on Miniature Golf
Beverly A. May
	Using reflections to determine bank shots.
	78, (1985)  351 - 353.

A Piagetian Approach to Transformation Geometry via Microworlds
Patrick W. Thompson
	The use of a computerized microworld called Motions to allow students
	to work with transformation geometry.
	78, (1985)  465 - 471.

Transformation Geometry: An Application of Physics
Ken A. Dunn
	An analytic approach to transformations in the Euclidean plane and
	in the Minkowski plane.
	77, (1984)  129 - 134.

General Equations for a Reflection in a Line
J. Taylor Hollist
	An analytic development.
	77, (1984)  352 - 353.

Visual Thinking with Translations, Half-Turns, and Dilations
Tom Brieske
	Visual imagery applied to composition of functions.
	77, (1984)  466 - 469.

Geometric Transformations On A Microcomputer
Thomas W. Shilgalis
	Microcomputer programs to demonstrate motions and similarities.
	75, (1982)  16 - 19.

Pythagorean Theorem and Transformational Geometry
Medhat H. Rahim
	A proof utilizing translations and rotations.
	72, (1979)  512 - 515.

Geometric Transformations and Music Composition
Thomas O'Shea
	Relations between musical procedures (transposition, inversion, etc.)
	and transformations of the plane.
	72, (1979)  523 - 528.

Line Reflections In The Plane, - A Billiard Player's Delight
Gary L. Musser
	Applications, complex numbers, reflections and aiming a cue ball.
	71, (1978)  60 - 64.

A Strip Of Wallpaper
Joseph A. Troccolo
	Symmetries and transformations involving wallpaper patterns.
	70, (1977)  55 - 58.

Mathematical Reflections and Reflections On Other Isometries
Thomas D. Bishop and Judy K. Fetters
	Transformation geometry activities using mirrors.
	69, (1976)  404 - 407.

Exploring Skewsquares
Alton T. Olson
	A transformational consideration of properties of quadrilaterals
	having congruent, mutually perpendicular diagonals.
	69, (1976)  570 - 573.

Transformation Geometry and The Artwork Of M.C. Escher
Sheila Haak
	Analyzing the symmetries and transformations in Escher's drawings.
	Techniques for producing such drawings.
	69, (1976)  647 - 652.

Real Transformations From Complex Numbers
Robert D. Alexander
	Complex numbers and transformation geometry.
	69, (1976)  700 - 709.

Application Of Groups and Isomorphic Groups To Topics In The
Standard Curriculum, Grades 9 - 11
Zalman Usiskin
	Relations of some groups and geometry.
		Part  I.  68, (1975)   99 - 106.
		Part II.  68, (1975)  235 - 246.

A Finite Field As A Facilitator In Algebra and Geometry Classes
Marc Swadener
	Some uses of a finite field to exemplify geometric concepts.
	68, (1975)  271 - 275.

Elementary Linear Algebra and Geometry via Linear Equations
Thomas J. Brieski
	Relations of the set of solutions of a homogeneous linear equation,
	the coordinate plane and the set of translations of the plane.
	68, (1975)  378 - 383.

Applications Of Transformations To Topics In Elementary Geometry,
Stanley B. Jackson
	Introduces some simple transformations which are intuitively appealing
	and explores ways in which they can be used to work with geometric
	concepts.
		Part  I.  Half-turns and reflections.  69, (1975)  554 - 562.
		Part II.  Homothety and rotation.  69, (1975)  630 - 635.

Do Similar Figures Always Have The Same Shape
Paul G. Kumpel, Jr.
	Transformational geometry applied to conics with a hint about cubics.
	68, (1975)  626 - 628.

The Logarithmic Spiral
Eli Maor
	Analytic geometry of the spiral, some work with transformations.
	67, (1974)  321 - 327.

Transformations In High School Geometry Before 1970
Z. Usiskin
	A discussion of early appearances of transformational approaches in
	secondary texts.
	67, (1974)  353 - 360.

A Key Theorem In Transformational Geometry
Daniel Pedoe
	Product of rotations.
	67, (1974)  716 - 718.

Fixed Point Theorems In Euclidean Geometry
Stanley R. Clemens
	Theorems about dilations and their applications to the theorems of
	Menelaus, Ceva and Desargues.
	66, (1973)  324 - 330.

Recreation: Hexiamonds
Raymond E. Spaulding
	Developing the concepts of symmetry and rigid motion.
	66, (1973)  709 - 711.

A Transformation Approach To Tenth-Grade Geometry
Z.P. Usiskin and A.F. Coxford
	Uses of reflections, symmetry, congruence and similarity.
	65, (1972)  21 - 29.

A Theorem On Lines Of Symmetry
Thomas W. Shilgalis
	If a figure has exactly two lines of symmetry, must they be
	perpendicular?
	65, (1972)  69 - 72.

Transformations In High School Geometry
Frank M. Eccles
	Some suggestions for introducing geometry through the use of
	transformations.
	65, (1972)  103, 165 - 169.

A Transformation Proof Of The Collinearity Of The Circumcenter,
Orthocenter and Centroid Of A Triangle
Thomas W. Shilgalis
	Using a dilation and a half-turn.
	65, (1972)  635 - 636.

The High-School Geometry Controversy: Is Transformation Geometry The Answer?
Richard H. Gart
	Discusses several proposals which favor the inclusion of
	transformational geometry and answers them.
	64, (1971)  37 - 40.

The Use Of Elastic For Illustrating Homothetic Figures
Alexander Arcache
	A model for demonstrating homotheties.
	61, (1968)  54.

Rotations, Angles and Trigonometry
Robert Troyer
	Transformation geometry, vectors, and trigonometry.
	61, (1968)  123 - 129.

Congruence Geometry For Junior High School
J. Sanders and J. Richard Dennis
	Development of transformations and some applications to theory.
	61, (1968)  354 - 369.

On Similarity Transformations
James Hardesty
	Images and curvature.
	61, (1968)  278 - 283.

Reflections and Rotations
Burton W, Jones
	Any plane motion is the product of at most three reflections.
	54, (1961)  406 - 410.

The Geometry Of Space and Time
Edward Teller
	Some discussion of invariants.
	54, (1961)  505 - 514.

Illustrating Simple Transformations
William Koenen
	A device for demonstrating rotations.
	49, (1956)  467 - 468. 

H.J.L.
07/15/97
email:  00hjludwig@bsu.edu
home page: http://www.cs.bsu.edu/~hjludwig/