Welcome to my exploration
activity on Magic Squares.
Although this is not a
traditional webquest,
I created a web site that
carries the same principles.
My hope is that you will
learn a little more about
magic squares and gain
a deeper interest into
how they can be used in
the mathematics classroom.

# Cultural and Mathematical
Context

Changing mathematical
paradigms have considered
and implemented the use
of constructivist pedagogy
to increase student achievement
and motivation. Teachers
who use methods of exploration
and investigation are
more likely engage students
in processes of higher-order
thinking and critical
thinking. Furthermore,
constructivist pedagogy
coupled with technology-rich
activities can help learners
with different learning
styles become more proficient
in the subject matter.
To that extent, this activity
focuses on using technology
in an explorative environment
to learn the topic of
magic squares. This activity
uses a cultural perspective
to explain the history,
mathematics (e.g., counting,
patterns, number operations,
and numerical analysis),
and mathematical connections
of magic squares.

# Audience

This activity is geared
towards high school Geometry
students studying number
patterns and symmetry.

# Download

# Materials

- Computers and/or laptops
(class set preferably).
- Internet connection
- Flash Plug-in
- Adobe Acrobat Reader
5.0 or higher
- Franklin 8-by8 magic
square sheet
- Lo-Shu Magic Squares
Activity Sheet
- LCD projector
- Access to http://plaza.ufl.edu/ufkelley/magic

# NCTM Standards

## Numbers and Operations
Standard

**Understand numbers,
ways of representing
numbers, relationships
among numbers, and number
systems.**

In
grades 9–12
all students should–

- develop a deeper understanding
of very large and
very small numbers and
of various representations
of them;
- compare and contrast
the properties of
numbers and number systems,
including the rational
and real numbers, and
understand complex numbers
as solutions to quadratic
equations that do not
have real solutions;
- use number-theory
arguments to justify
relationships involving
whole numbers.

# Sunshine State Standards

**The student describes,
analyzes, and generalizes
a wide variety of patterns,
relations, and functions.
(MA.D.1.4)**

- describes, analyzes,
and generalizes relationships, patterns,
and functions using
words, symbols,

variables, tables, and
graphs.
- determines the impact
when changing parameters of
given functions.