Connecting Geometry and Algebra: Geometric Interpretations of Distance
Terry W. Crites
	Primarily as areas under curves.
	(88, 1995)  292 - 297

Using Similarity to Find Length and Area
James T. Sandefur
	Similar figures and scaling factors.  Constructing spirals in triangles and squares.  
	Involvement with the theorem of Pythagoras.  
	(87, 1994)  319 - 325

Spiral Through Recursion
Jeffrey M. Choppin
	Finding areas and perimeters of spirals created through recursive processes.
	(87, 1994)  504 - 508

Teaching Relationships between Area and Perimeter with The Geometer's Sketchpad
Michael E. Stone
	For all n-gons with the same perimeter, what shape will have the greatest area?  
	Sketchpad investigations of the problem.
	(87, 1994)  590 - 594

Multiple Solutions Involving Geoboard Problems
Lyle R. Smith
	Finding areas and perimeters of polygons formed on a geoboard.  
	(86, 1992)    25 - 29

Area and Perimeter Connections
Jane B. Kennedy
	Activities for investigating maximum area rectangles 
	with fixed perimeter.  
	(86, 1993)    218 - 221, 231 - 232

The Use of Dot Paper in Geometry Lessons
Ernest Woodward and Thomas Ray Hamel
	Area, perimeter, congruence, similarity, Cevians.  
	(86, 1993)    558 - 561

Looking at Sum k and Sum k*k Geometrically
Eric Hegblom
	Using squares and determining area, using cubes 
	and determining volume.  
	(86, 1993)    584 - 587

The Generality of a Simple Area Formula
Daniel J. Reinford
	Sharing Teaching Ideas.  Using the triangle area formula K = rs 
	to find the areas of polygons which have inscribed circles and 
	applying the formula to find the area of a circle.  
	(86, 1993)   738 - 740

A Circle is a Rose
Margaret M. Urban
	Area conjectures for a rose curve.
	(85, 1992)    114 - 115

Making Connections: Beyond the Surface
Dan Brutlag and Carole Maples
	Dealing with scaling-surface area-volume relationships.
	(85, 1992)    230 - 235

Determining Area and Calculating Cost: A "Model" Approach
Harry McLaughlin
	Activities for discovering the formula for the area of a rectangle
	and using the information to calculate various costs.
	(85, 1992)    360 - 361, 367 - 370

A Generalized Area Formula
Virginia E. Usnick, Patricia M. Lamphere, and George W. Bright
	Looking for a common structure in familiar area formulas.
	(85, 1992)  752 - 754

Area and Perimeter Are Independent
Edwin L. Clopton
	Sharing Teaching Ideas.  A demonstration and laboratory activity.
	(84, 1991)  33 - 35

A Geometric Look at Greatest Common Divisor
Melfried Olson
	Activities involving area.
	(84, 1991)  202 - 208

A Fractal Excursion
Dane R. Camp
	Area and perimeter results for the Koch curve and surface area and
	volume results for three-dimensional analogs.
	(84, 1991)  265 - 275

Pick's Theorem Extended and Generalized
Christopher Polis
	The extension is to lattices other than square lattices.  The author
	was an eighth-grade student at the time the article was written.
	(84, 1991)  399 - 401

Counting Squares
David L. Pagni
	Finding a relationship between the size of a rectangle and the number
	of subsquares cut by a diagonal.
	(84, 1991)  754 - 758

Area of a Triangle
Donald W. Stover
	Sharing Teaching Ideas.  An alternate method for finding the area of
	a triangle given the lengths of the sides.
	(83, 1990)  120

Seven Ways to Find the Area of a Trapezoid
Lucille Lohmeier Peterson and Mark E. Saul
	Sharing Teaching Ideas.  Furnishing a hands-on experience in determining
	the area of a trapezoid.
	(83, 1990)  283 - 286

Areas and Perimeters of Geoboard Polygons
Lyle R. Smith
	Finding polygons with specific areas and specific perimeters on
	a geoboard.
	(83, 1990)  392 - 398
 
Some Discoveries with Right-Rectangular Prisms
Robert E. Reys
	Activities for problem-solving experiences with area and volume.
	(82, 1989)     118 - 123

What Do We Mean by Area and Perimeter?
Virginia C. Stimpson
	Sharing Teaching Ideas.  A lesson designed to reveal misconceptions
	about the relationship between area and perimeter.
	(82, 1989)     342 - 344

Area Formulas on Isometric Dot Paper
Bonnie H. Litwiller and David R. Duncan
	Isometric graph paper as a teaching aid for the concept of area.
	(82, 1989)     366 - 369

Interpreting Proportional Relationships
Kathleen A. Cramer, Thomas R Post, and Merlyn J. Behr
	Activities which include some discussion of surface area and
	map scaling. 
	(82, 1989)     445 - 452

Designing Dreams In Mathematics
Linda S. Powell
	Sharing Teaching Ideas.  Informal geometry project involving area
	calculations.
	(82, 1989)   620

Geometrical Adventures in Functionland
Rina Hershkowitz, Abraham Arcavi, and Theodore Eisenberg
	Determining the change in area produced by making a change in some
	property of a particular figure.
	80, (1987)  346 - 352.

Approximation of Area Under a Curve: A Conceptual Approach
Tommy Dreyfus
	Various approaches are presented.
	80, (1987)  538 - 543.

Using Sweeps to Find Areas
Donald B. Schultz
	A technique related to a theorem of Pappus.
	78, (1985)  349 - 351.

Investigating Shapes, Formulas, and Properties With LOGO
Daniel S. Yates
	Logo activities leading to results on areas and triangle geometry.
	78, (1985)  355 - 360.  (See correction p. 472.)

Measuring the Areas of Golf Greens and Other Irregular Regions
W. Gary Martin and Joao Ponto
	Divide the region into triangles having a common vertex at an interior
	point of the region.  BASIC program provided.
	78, (1985)  385 - 389.

Ring-Around-A-Trapezoid
Vincent J. Hawkins
	Finding the area of a circular ring by transforming it into an
	isosceles trapezoid.
	77, (1984)  450 - 451.

How Is Area Related to Perimeter?
Betty Clayton Lyon
	Relations involving rectangles with integral sides.
	76, (1984)  360 - 363.

Understanding Area and Area Formulas
Michael Battista
	A sequence of lessons to discourage some common misunderstandings
	about area.
	75, (1982)  362 - 368, 387.

Area = Perimeter
Lee Markowitz
	When will the area of a triangle be equal to its perimeter?
	74, (1981)  222 - 223.

The Second National Assessment In Mathematics: Area and Volume
James J. Hirstein
	A discussion of student results on the concepts.
	74, (1981)  704 - 708.

The Isoperimetric Theorem
Ann E. Watkins
	Activities to aid in the discovery that for a given perimeter the
	circle encloses the greatest area.
	72, (1979)  118 - 122.

A Different Look At pi r*r
William D. Jamski
	Dividing a circle into n congruent segments, then reassembling them
	into a "quadrilateral".
	71, (1978)  273 - 274.

Finding Areas Under Curves With Hand-Held Calculators
Arthur A. Hiatt
	Develops (in the appendix) a method for finding the area of a polygon,
	given the coordinates of its vertices.
	71, (1978)  420 - 423.

Problem Posing and Problem Solving: An Illustration Of Their Interdependence
Marion I. Walter and Stephen I. Brown
	Given two equilateral triangles, find a third whose area is the
	sum of the areas of the first two.  The Pythagorean theorem and a
	generalization.
	70, (1977)  4 - 13.

Tangram Mathematics
	Activities involving area relationships.
	70, (1977)  143 - 146.

The Surveyor and The Geoboard
Ronald R. Steffani
	Surveyors method for finding area related to the geoboard.
	70, (1977)  147 - 149.

Sum Squares On A Geoboard
James J. Cemella
	The number of squares on a geoboard and their area.
	70, (1977)  150 - 153.

Tangram Geometry
James J. Roberge
	Using the tangram pieces to create geometric figures.  Looks at
	convex quadrilaterals in particular.
	70, (1977)  239 - 242.

Volume and Surface Area
Gerald Kulm
	Activities involving surface areas and volumes of rectangular
	boxes with open tops.
	68, (1975)  583 - 586.

Pick's Rule
Christian R. Hirsch
	Activities for discovering and using Pick's rule.
	67, (1974)  431 - 434, 473.

Area Ratios In Convex Polygons
Gerald Kulm
	Area ratios involved when one regular n-gon is derived from
	another by joining division points of sides.
	67, (1974)  466 - 467.

Problem Number 10
George Lenchner
	Find the area of a quadrilateral derived from a right triangle.
	67, (1974)  608 - 609.

Some Suggestions For An Informal Discovery Unit On Plane Convex Sets
Alton T. Olson
	Activities leading to the discovery of properties and existence
	of convex sets.
	66, (1973)  267 - 269.

That Area Problem
Benjamin Greenberg
	Finding the area of a quadrilateral formed by trisecting the sides
	of a given quadrilateral.
	64, (1971)  79 - 80.

Area From A Triangular Point Of View
Margaret A. Farrell
	Using an equilateral triangle as the unit of area.
	63, (1970)  18 - 21.

Two Incorrect Solutions Explored Correctly
Merle C. Allen
	Converse of Pythagoras, area of a triangle.
	63, (1970)  257 - 258.

The Area Of A Pythagorean Triangle and The Number Six
Robert W. Prielipp
	The area of such a triangle is a multiple of six.
	62, (1969)  547 - 548.

A Medieval Proof Of Heron's Formula
Yusuf Id and E.S. Kennedy
	A proof by Al-Shanni.
	62, (1969)  585 - 587.

Pierced Polygons
Charles G. Moore
	Regions formed when a polygonal region is cut from the interior of
	another polygonal region.  Angle relations.
	61, (1968)  31 - 35.

The Area Of A Rectangle
Lawrence A. Ringenberg
	Formula developed using the square as a unit.
	56, (1963)  329 - 332.

The Trapezoid and Area
Wilfred H. Hinkel
	An approach to polygonal area formulas.
	53, (1960)  106 - 108.

Area Device For A Trapezoid
Emil J. Berger
	Teaching aid.
	49, (1956)  391.

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