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## Media Clips: The Fiancée Formula – Chocolatefinger

There seems to be a trend toward using creative terminology for mathematical properties and procedures as teachers attempt to engage their students. This short article explores potential issues and concerns related to the use of creative terminology and its effect on students' ability to meet the CCSSI standards of mathematical practice.

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## Connecting Research to Teaching: Reasoning about Quantities That Change Together

This article explores quantitative reasoning used by students working on a bottle- filling task. Two forms of reasoning are highlighted: simultaneous-independent reasoning and change-dependent reasoning.

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## Adding a New Dimension to Algebra

The idea of a function of several variables–important in other disciplines–can be introduced in secondary school mathematics courses.

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## Algebra Aerobics

A kinesthetic approach to developing ideas of function transformations can get students physically and intellectually involved.

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## Tools for Facilitating Meaningful Mathematics Discourse

This article explores facilitating meaningful mathematics discourse, one of the research-based practices described in Principles to Actions: Ensuring Mathematical Success for All. Two tools that can support teachers in strengthening their classroom discourse are discussed in this, another installment in the series.

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## High-Impact Solutions for Struggling Mathematics Students

To maximize classroom time spent on practice and concept attainment, a teaching team discarded traditional warm-up activities and homework assignments.

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## Problem Solving + Problem Posing = Mathematical Practices

A Diophantine equation engages mathematics students as they problem solve.

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## Activities for Students: Filling Bottles with Water

In this activity, students gradually fill bottles of different shapes and graph the water level (height) versus the volume of water inside the bottles. Then they explore the relationship between the shape of a bottle and the resulting graph.

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## Authentic Health-Care Scenarios Make Mathematics Meaningful

Such applications can make mathematics content relevant to students.

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## Sorting Out Ideas about Function

A card-sorting task can help students extend their understanding of functions and functional relationships.