# Browse

## You are looking at 1 - 10 of 56 items for :

• Ninth
• Other Topic
• Representations
• Twelfth
• All content
Clear All
Restricted access

## Equivalent Expressions Using CAS and Paper-and-Pencil Techniques

Designing activities to reconcile multiple representations supports students' focus and fluency.

Restricted access

## Multiple Representations and Connections with the Sierpinski Triangle

A task using multiple representations helps students write explicit algebraic equations.

Restricted access

## Graphing Inequalities, Connecting Meaning

tudents often have difficulty with graphing inequalities (see Filloy, Rojano, and Rubio 2002; Drijvers 2002), and my students were no exception. Although students can produce graphs for simple inequalities, they often struggle when the format of the inequality is unfamiliar. Even when producing a correct graph of an inequality, students may lack a deep understanding of the relationship between the inequality and its graph. Hiebert and Carpenter (1992) stated that mathematics is understood “if its mental representation is part of a network of representations” and that the “degree of understanding is determined by the number and strength of the connections” (p. 67). I therefore developed an activity that allows students to explore the graphs of inequalities not presented as lines in slope-intercept form, thereby making connections between pairs of expressions, ordered pairs, and the points on a graph representing equations and inequalities.

Restricted access

## Investigating Home Primes and Their Families

The process of prime factor splicing to generate home primes raises opportunity for conjecture and exploration.

Restricted access

## Technology Tips: Teaching Inverses with Technology Is “Sweeeet”

A wonderful experience occurred in a class that I was teaching recently. It was a precalculus class, the last period of the day. The local university had brought over its cadre of preservice secondary school mathematics teachers to observe my class, so there were twenty-four additional eyes on me that day.

Restricted access

## Using Covariation Reasoning to Support Mathematical Modeling

Table representations of functions allow students to compare rows as well as values in the same row.

Restricted access

## American I Do's – The More the Merrier?

Students analyze items from the media to answer mathematical questions related to the article. The mathematics in these clips includes interpretation of graphs, computing percentages, making conjectures, and analyzing data. The first clip concerns college admission, a relevant topic for many students.

Restricted access

## The Stable Pairing Problem

The Gale-Shapley algorithm can be used to match partners in a variety of contexts, such as marriage and hospital residencies.

Restricted access

## Adding It All Up: Reconceiving the Introduction of the Integral

An applied approach to understanding the integral—using a burst pipe—involves physical quantities and helps deepen the concept for students.

Restricted access

## The Back Page: My Favorite Lesson: Modeling Exponential Decay

Our favorite lesson, an interactive experiment that models exponential decay, launches with a loud dice roll. This exploration engages students in lively data collection that motivates interest in key components of the Common Core State Standards for Mathematics: functions, modeling, and statistics and probability (CCSSI 2010).