Problem of Practice-High School Mathematics

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Problem of Practice-High School Mathematics by Mind Map: Problem of Practice-High School Mathematics

1. Problem 1: Students tend to rush through their work which causes silly mistakes.

1.1. Content Knowledge: CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.

1.1.1. Pedigogical Strategy: 1. Directive: Before students hand in their work, I could take a look at it to check it for mistakes and completion. 2. Directive: I could also offer for students to correct their mistakes and resubmit their work for better credit instead of taking what they hand in the first time for their final grade. I learned a lot about what this does for the students this year. 3. Constructive: Online programs where the students get immediate feedback.

1.1.1.1. Technology Tools: 1. I could turn their assignments into online versions that allow them to only do so many problems at a time before they could move on. Maybe make it so they have to get it right to move on, kind of like a breakout room. Instead of doing this for every assignment, I could do an online breakout room activity that incorporated several concepts before they quizzed. 2. There are several programs out there that are self-paced with immediate feedback for the students. Programs such as IXL and newly discovered DeltaMath and mrn365.com

2. Problem 2: Students do not like to check their work.

2.1. Content Knowledge: CCSS.MATH.PRACTICE.MP6 Attend to precision

2.1.1. Pedigogical Strategy: 1. Directive Approach: In order to combat this, I started to put a spot on their outlines that asks them to check their work with hopes that they will get into the habit of checking their work. 2. Directive Approach: They also miss out on points if they do not check their work as it is typically in the directions. 3. Constructivist Approach: Students work together in pairs to solve different problems. Partners will switch papers when they are done to take the step of checking the work of their partners.

2.1.1.1. Technology Tools: 1. Our calculators are pretty awesome. Depending on the subject, our calculators may have be helpful in this. For example, our calculators can graph equations, so when our students are graphing, I always tell them to check their work on the calculator so they know if they are doing it correct. 2. Another tool they could utilize is desmos, depending on the subject. 3. That checklist could become digital on their google classroom so they always have access to it. 4. As I said for problem 4, turning their assignments to online versions that only allow them to do so much at a time before they can move on could help with this. Google Forms would be a good tool for this.

3. Problem 3: Students lack organization or flow to their work.

3.1. Content Knowledge: CCSS.MATH.PRACTICE.MP6 Attend to precision.

3.1.1. Pedigogical Strategy: 1. Directive/Constructivist approach: In order to show my students what is expected, I could use a bulletin board that has examples of what is expected versus what is unacceptable. By modeling it for my students and providing examples of what is expected will help the students with organization.

3.1.1.1. Technology Tools: 1. I have never thought about it before, however, I could use flow charts to show them how work should flow. However, sometimes technology might not help with certain situations. I believe this is one of those situations where showing them instead of incorporating technology would work best. --some platforms I could use for flowcharts are as follows: edraw, draw.io, visme

4. Problem 4: Students lack comprehension skills needed for word problems.

4.1. Content Knowledge: CCSS.MATH.PRACTICE.MP4 Model with mathematics.

4.1.1. Pedigogical Strategy: 1. Directive Approach: I always ask my students the question "What is the problem asking you?" If I am not there asking them that question, a lot of students stuggle to ask themselves. I could put the question on their outlines/assignments so they get in the habit of asking themselves. 2. Directive Approach: I could also start having them use a highlighter to highlight that specific part of the problem. 3. Constructivist Approach: Having students pair together to work through a problem and explain their work and reasoning to each other would also help students who are really struggling. Peer tutoring goes a long way.

4.1.1.1. Technology Tools: 1. Graphic organizers are great for word problems. In terms of technology, I could have the graphic organizer readily available to them online so they always have it to reference. --Google would be a really great place to have this considering we are a Google school and 1:1. --A really cool platform for graphic organizers, flow charts, mind maps, etc. is creately.com. This platform comes with many different options to create and organize work. 2. Digital Texts are known to help students with comprehension since they are able to manipulate by highlighting and changing things around so it is more visual for their liking. 3. Another way to help with making math digital is using Youtube. Youtube has hundreds of videos that would work for many different types of learning styles. Students can listen to a different perspective.

5. Problem 5: Students struggle with retaining content knowledge from chapter to chapter.

5.1. Content Knowledge: CCSS.MATH.PRACTICE.MP5 Use appropriate tools strategically.

5.1.1. Pedigogical Strategy: 1. Directive approach: In order to work on their comprehension rates, I could do more practice on those skills within their assignments. 2. Directive approach: I could also do bellringers that require them to practice the skills they are weak in. 3. Directive approach: If reteaching is necessary, I would most definitely take that approach. 4. Constructivist approach:

5.1.1.1. Technology Tools: 1. I believe I could have the students work on IXL or another math program that has the students repeatedly work on the necessary skills. 2. I could also use my calculator program to send out the daily bellringers. 3. Another program similar to IXL is DeltaMath. This challenges the students to beat the best time of the class. 4. Utilizing Google Classroom so students can go back and rewatch previous lessons. 5. Khan Academy is great for providing video lessons and providing practice problems.