Great article on division with remainders
One of Chicago's Lesson Study Leaders, Joshua Lerner, wrote a terrific article in NCTM's journal Mathematics Teacher: Learning and Teaching in PK-12. It is titled, "Recommendations for Teaching Division with Remainders." From the introduction: Recently our team of...
Grade 1 Science Research Lesson, May 7
Friday, May 7, 10:00 AM – 2:30 PM EDT Grade 1: Does the moon give off its own light or does light shine on it? Organized by Sharon Dotger at Syracuse University Agenda Registration link There is a link in the agenda to the lesson plan. It looks VERY INTERESTING! The...
Fractions as numbers vs. fractions as ratios
A grade 4 team was recently considering the following task for a lesson in which they hoped to have students make a connection between fractions and decimals: What would you say about this? I wrote them two emails about it. First email: What would be the purpose of...
Learning goals should describe cognitive change
A surprisingly difficult but critically important part of designing a lesson is establishing the learning goals. Many teachers write learning goals in the form of behavioral outcomes: “Students will be able to…” Frequently this is what their administrators want, and...
It’s not the teacher’s job to teach the students!
What?? you might be thinking. What else could the teacher's job be but to teach? The teacher's job is to ensure that students learn – all of them, we hope, though we know we will usually fall short. In Japan, most (elementary) math lessons are designed as "teaching...