Students use feature engineering to build a classifier that can accurately recognize digits from images.
Building a Digit Classifier with MNIST
Strengthening Students’ Proofs Using Peer Critiques and Revisions
Brooke Krejci and Kimberly Conner
Support students’ understanding of the proving process by having them pose a conjecture, draft a proof, and then revise it using peer feedback.
Model It! Devising a Model to Represent College Football Rankings
Rachel Wiemken, Gabriel Matney, and Brandon Floro
A model eliciting activity based on our students’ outside interests sparks engagement with modeling and interesting debates.
Digital Learning Routes: An Example of Mathematical Modeling
Salomé Martínez, Flavio Guiñez, and Darío González
An online activity provides instructional strategies that can help students engage in mathematical modeling and autonomous learning.
Construct It! Progressively Precise: Three Levels of Geometric Constructions
Carmen Petrick Smith
This article shares an activity scaffolding the construction of the circumcenter of a triangle, culminating with a Triangle-Ball Championship game.
Model It! Revamping High School Schedules
Elizabeth B. Harkey, Kathryn Early, Ronnie D. Hall, and Marilyn E. Strutchens
Learn how the authors used changes happening in the community to create a mathematical modeling task.
Characterizing Secondary Teachers’ Structural Reasoning
Stacy Musgrave, Cameron Byerley, Neil Hatfield, Surani Joshua, and Hyunkyoung Yoon
The Common Core State Standards for Mathematical Practice asks students to look for and make use of structure. Hence, mathematics teacher educators need to prepare teachers to support students’ structural reasoning. In this article, we present tasks and rubrics designed and validated to characterize teachers’ structural reasoning for the purposes of professional development. Initially, tasks were designed and improved using interviews and small pilot studies. Next, we gave written structure tasks to over 600 teachers in two countries and developed and validated rubrics to categorize responses. Our work contributes to the preparation and support of mathematics teachers as they develop their own structural reasoning and their ability to help students develop structural reasoning.
The Do Nothing Machine
The Trammel of Archimedes traces an ellipse as the machine’s lever is rotated. Specific measurements of the machine are used to compare the machine’s actions on GeoGebra with the graph of the ellipse and an ellipse formed by the string method.
Experience First, Formalize Later
Sarah Stecher, Luke Wilcox, and Lindsey Gallas
The EFFL model empowers students to build strong conceptual understanding of mathematics through carefully designed, equity-minded activities that disrupt the traditional lecture-based classroom.
Using Series to Construct Pythagorean Triples
Darien DeWolf and Balakrishnan Viswanathan
This article provides a series-focused approach to computing Pythagorean triples.