math journal11

docx

School

University of Washington *

*We aren’t endorsed by this school

Course

20090127

Subject

Mathematics

Date

Feb 20, 2024

Type

docx

Pages

Uploaded by CountFrog2769

Kelsey Falkner AMSTI Math Notebook (Journaling Piece) 1/26/2024 1. MATHOGRAPHY (3 points) Mathematics has always been a challenging subject for me. Throughout my educational journey, I have had mixed feelings about math and my abilities in it. Most of the moments I remember are of frustration and struggle, with the moments of clarity and accomplishment are few and far between. My math learning experiences were mostly traditional, with worksheets and textbook problems as the main teaching methods. Problem solving was emphasized to some extent, but not fully set into the curriculum. There were no hands-on manipulatives or games utilized to enhance understanding. As I reflect on my mathematical journey, I realize that my attitude toward math has been influenced by both positive and negative experiences with teachers. Some teachers were able to inspire me and make math more engaging, while others simply reinforced the idea that math was difficult and inaccessible. Overall, math means logical thinking, problem-solving, and the ability to analyze and interpret data correctly. I am not entirely satisfied with my level of knowledge in math and often find certain areas challenging to understand. If I were to teach math, I would incorporate more hands-on activities and real-world problems to make the subject more relatable and enjoyable for students. 2. BUDGET BILLING ACTIVITY (3 points) I do not believe that the budget billing will change. Just by looking at all of the previous months from the bill you are able to see that the bill has been below where the budget billing is set at. It does seem that the higher amount is only higher during the summer months, and that could be due to the air being on due to the summer heat. So, I do believe that the budget billing amount stayed the same and will continue to stay the same. 3. ARTICLE: 10 BIG MATH IDEAS (3 points) 1. What connections can you make between them? These ideas are interconnected and reinforce each other. Understanding and using mathematical representations helps in reasoning and problem solving by providing a visual or symbolic framework. Making connections involves linking mathematical concepts to real-world situations or other mathematical ideas, which enhances reasoning and problem solving. Communication and justification serve as a means to articulate and support one's reasoning and problem-solving strategies. Overall, these ideas work together to create a comprehensive approach to learning and applying mathematical concepts.

2. In what ways are they similar? These ideas are similar in that they all involve critical thinking and reasoning skills. Problem solving requires students to analyze and strategize to find solutions, number sense involves understanding and manipulating numbers, patterns and relationships involve identifying and describing mathematical patterns, and estimation requires making reasonable approximations. All four ideas emphasize the importance of understanding and applying mathematical concepts in real-life situations. 3. How do they relate to national standards and expectations? These concepts align closely with national standards and expectations in math education. For example, the Common Core State Standards (CCSS) for Mathematics emphasize the importance of understanding number relationships and operations, developing fluency, and applying mathematical reasoning to solve problems. These ideas also parallel the National Council of Teachers of Mathematics (NCTM) Standards, which highlight the significance of conceptual understanding, procedural fluency, problem-solving, and communication skills in mathematical learning. 4. How do they relate to local standards and expectations? I do believe that the 10 Big ideas just simply reinforce what the standards for Alabama enforce within the classroom. The "Big Ten Math Ideas" by Marilyn Burns and the Alabama Math Standards are both frameworks that outline important components of mathematics. While the "Big Ten Math Ideas" provide a broader perspective on important mathematical concepts, the Alabama Math Standards offer more specific guidance for educators and serve as a blueprint for curriculum development and instructional planning in the state of Alabama. When implementing math journaling, teachers can align their practice with both the "Big Ten Math Ideas" and the Alabama Math Standards to ensure a well- rounded and standards-based approach to mathematics education. 3. ARTICLE: WRITING IN MATH (12 points) Part 1 Two writing opportunities in math class that can be described and categorized are "Reflective Writing" and "Problem-Solving Explanations". These opportunities provide students with different ways to engage with mathematical ideas and concepts through writing. Reflective writing falls under the category of metacognitive writing, which focuses on students thinking about their thinking and reflecting on their learning process. In math, reflective writing can involve students explaining their thought processes, strategies, and reasoning behind solving a problem. Problem-solving writing can be categorized under explanatory writing, which involves students explaining or describing mathematical concepts or procedures. In math, problem-solving writing tasks can include asking students to explain

the steps they took to solve a specific problem, providing clear and concise descriptions of mathematical vocabulary and symbols, or writing about real-world applications of mathematical concepts. Both reflective writing and problem-solving writing have a place in mathematics instruction as they facilitate deeper understanding, critical thinking, and communication skills. Reflective writing prompts students to analyze and evaluate their own problem-solving strategies, making their thinking visible and allowing teachers to assess and provide targeted feedback. Problem-solving writing, on the other hand, challenges students to articulate their mathematical thinking and communicate their understanding effectively. Part 2 When incorporating writing into the math classroom, it is important to provide students with organizational structures that support their mathematical writing. One effective strategy is to use graphic organizers or templates that guide students in organizing their thoughts and ideas. Managing math journaling can be achieved by implementing consistent routines and expectations. One practical approach is to allocate dedicated time for journaling during math class. This can be done at the beginning or end of the class as a warm-up or closing activity. Providing clear prompts or questions for students to respond to in their journals can help guide their writing and focus their thinking. Students may struggle with writing in math class, particularly if they are not accustomed to it. Some common challenges include expressing mathematical ideas coherently in written form, using precise mathematical language and vocabulary, and connecting their writing to mathematical concepts. Providing scaffolds such as sentence starters, word banks, or graphic organizers can help alleviate these challenges and support students in their writing. Overall, integrating writing into mathematics instruction can enhance students' understanding, critical thinking, and communication skills. By providing organizational support, implementing consistent routines, and offering constructive feedback, teachers can help students overcome challenges and effectively incorporate writing into their math classroom. 5. ARTICLE: HOW MATH JOURNALS BOOST REAL LEARNING + Template (12 points) Part 1 I believe that when it comes to math journaling, this will be an easy way for students to be able to do and keep with many things within the classroom. The big ones that I believe will be helpful will be tracking their own progress. Students can easily track their progress and document their learning through their math journals. By revisiting previous entries, they can reflect on their growth, identify areas of improvement, and celebrate their achievements. I also believe that explaining mathematical reasoning within the notebook can also be beneficial. Students may also find success in explaining their mathematical reasoning in their journals. The article suggests that writing about math helps students clarify their thinking and communicate their ideas more effectively. This reflection can reinforce their understanding of mathematical concepts and make connections between different ideas or strategies. Students may encounter some challenges from using the math journal as well. I believe that organizing thought could possibly be a difficult issue. Students may find it challenging to organize their thoughts coherently in their math journals. They may struggle with structuring their explanations or

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

logically sequencing their ideas. Teachers can help by providing graphic organizers or guiding students through the process of outlining their thoughts before writing. Tim management is the second issue I believe that students may encounter with the journal. Some students may struggle with managing their time effectively during math journaling activities. They may spend too much time on one entry or struggle to complete entries within the given timeframe. Teachers can scaffold time management skills by setting clear expectations and providing regular opportunities for practice. I do think that with the pros and cons to students, math journaling is by far more beneficial to students in the long run within their schooling. Part 2 In implementing math journaling, the planning template should include clear objectives and goals, topics, and activities to be covered, assessment strategies, and a timeline. It should also consider students needs and abilities, providing appropriate scaffolding to support their growth. The plan should include a recovery strategy in case students fall behind or struggle with the journaling process. This may involve additional support, differentiated instruction, or revisions to the curriculum. Continual monitoring and adjustment of the plan will ensure its effectiveness in promoting student learning and engagement. 7. JUSTIFICATION (3 points) The math notebook has always played a significant role in my learning journey as a student. It served as a repository for my thoughts, ideas, and understanding across various subjects, including mathematics. The notebook can become a personal space where you could document your mathematical thinking, record problem-solving strategies, and reflect on my learning process. It allowed you to organize my thoughts, revisit concepts, and track your progress over time. Math journaling encourages active engagement with mathematical concepts. By writing and articulating their thoughts, students are forced to think deeply and critically about the mathematics they are learning. This process strengthens their understanding and retention of mathematical concepts. Students are also able to share their journal entries, explain their reasoning, and engage in meaningful discussions with their peers. This not only facilitates the development of mathematical discourse and vocabulary but also encourages students to learn from and support each other. Math journals serve as an authentic assessment tool. Teachers can assess students' understanding, problem-solving strategies, and ability to communicate their mathematical thinking through their journal entries. This formative assessment enables teachers to provide targeted feedback, address misconceptions, and tailor instruction to meet students' individual needs.

math journal11

Related Documents