You can find the week 6 Reflection form here. The prompts (taken from the CCSS Standards for Mathematical Practice) handed out in Thursday’s Wrap were:
- Look for and make use of structure/express regularity in repeated reasoning. Students work to improve their ability to look closely to discern a pattern or structure in natural phenomena or mathematical relationships. As they work to solve a problem, students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results. They notice if reasoning and calculations are repeated, and look both for general methods and for shortcuts. They can step back for an overview and to shift perspective. They can see complicated things as single objects or as being composed of several objects.
- Construct viable explanations from evidence and discuss (with an eye to improving) the reasoning of others. Students work to justify their explanations, formulate evidence based on a solid foundation of data, examine their own understanding in light of evidence and comments offered by others, and collaborate with peers in searching for the best explanation for the natural or mathematical phenomenon being investigated. They work to understand and use stated assumptions, definitions, and previously established results in constructing explanations. They justify their conclusions, communicate them to others, and respond to the explanations of others. They reason inductively about data, making plausible explanations that take into account the context from which the data arose. They are also able to compare the effectiveness of two plausible explanations, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an explanation—explain what it is. They can listen or read the explanations of others, decide whether they make sense, and ask useful questions to clarify or improve the explanation.