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11-15 December’s Journal

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 This week we started by exploring a given data set. And we are asked to write a couple of questions and interpret our findings and why we may achieve such a result. Getting hands-on with the data brought the theory to life and made me realize how asking right questions  is key to unlocking the good stuff. And I learned a lot about cars :) The activity that we have done with Süeda; Our questions: 1. Is there a relationship between the estimated miles per gallon in city and highway driving and people's choices of fuel types? 2. Is there a relationship between the air volume swept by the pistons inside the engine's cylinders and the car's drivetrain? 3. Is there a relationship between the estimated miles per gallon in a combination of city and highway driving and the number of cylinders in an engine? 4. Is there a relationship between a vehicle user's savings and spending over five years compared to an average car and the estimated miles per gallon in city and highway dri...

4-8 December’s Journal

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Exploring CODAP thi s week was a fantastic experience. Its intuitive interface made data analysis feel less daunting and more enjoyable. I appreciate how user-friendly apps like CODAP can transform complex topics into accessible and engaging learning experiences. This hands-on approach has deepened my understanding of data analysis and its real-world applications.   Duck Pond Activity collobaratively done with Süeda Bozkurt Page 1 1. It represents the real scenario since the sampler feature of the Codap randomly picks the rubber ducks. 2. Since 80 percent of the rubber ducks aren't marked with a "win," we expect to have all 3 of the data as "no" or 2 of them being "no." 3. On the first try, we didn't win a prize. Surprisingly, for the following trials, we won more than we expected. To be precise, it was about 70 percent no to about 30 percent win. Page 2 4. 32 Students won a prize out of 50. 6 Students won more than one prize. There are no student...

20-24 November's Journal

    Diving into randomness and probability in this week's classes felt like stepping into a complex puzzle world since I wasn't feeling confident about them in the first place. Before, randomness seemed mysterious, but now it's more apparent – it's about dealing with the unknown. It's those situations where predicting what comes next feels like staring into a crystal ball that's lost its magic. Now, I see randomness as a realm where patterns just don't play. Trying to compare two random things was quite an adventure. How do you even compare something impossible to measure? We can measure variability, but then randomness adds this uncertainty factor. It's like trying to grab onto a cloud – you sense it, but it slips away. The idea that something can be "less variable" but not "less uncertain" is a bit like walking a tightrope. It's tricky, and I'm still figuring it out. It's similar to comparing apples and oranges, but t...

27 November - 1 December's Journal

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T his week's digital technology topic has been fantastic! We did learn about CODAP and Gapminder, which are these amazing tools for exploring data. CODAP is like a fun math game where you can play with graphs and variables. Gapminder is like a gold mine of real-world data that you can use to understand what's happening worldwide. It's really cool to see how math can be used to make sense of the world around us. I'm considering how to use these tools to make math more relevant for my future students. I imagine them using math to understand world trends and solve real-world problems, which is pretty great. It would be like an adventure where they get to explore, question, and maybe even change the world with numbers. But I'm also thinking about the challenges. How can I ensure that all students, regardless of their background, can get involved in this digital math action? My loaded dice experiment using CODAP:

30-3 November's Journal

The Animation Activity https://www.geogebra.org/m/jtmeyyrt The Homework from the Variables and Relationships Chapter, Collaboratively done with Süeda Bozkurt;  Exploring Variables 1: When A is being dragged, I automatically move, too. When we tried to move point I, neither point I nor A moved. So, I act as a constant in this relation, and A acts as a variable. A and I move inversely to each other. It is the same relationship for J as a variable and B as a constant, but this time, they move in the same direction. When C, a variable, is being moved, B, a constant, also moves; however, their distances remain constant.  E and H do not move when dragged first, but when G is being moved, both of them move accordingly. They are points of the same linear line. The distance between E and G is about two times the distance between G and H. So, G is a variable that affects both E and H. F does not affect any of the points, and it acts as a free variable—something like y=x. Exploring Varia...

23-27 October's Journal

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  During the lesson, at first, we were not allowed to use GeoGebra to graph the cell phone activity. So, it took a great effort to draw it accurately. Even to the best of our ability, we could not draw it perfectly. Using technology afterward enhanced the effectiveness of this activity by providing dynamic visualizations, enabling "what-if" analyses, and facilitating data organization. It could help students bridge the gap between abstract mathematical concepts and real-world decision-making when used in a classroom. Students may find it fascinating that as the number of minutes changed, the cost on the graph updated in real-time. The feeling of being in control of the data and immediately seeing how it changes in minutes affects the price of each plan may be an effective way of learning. It is much more engaging for students than looking at static charts in a textbook. It is exciting to visually identify the breakpoints in the graph, like the moment when the cost function sw...

9-13 October’s Journal

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 Paper folding and dividing the equilateral triangle into four congruent triangles were quite helpful for me. The concept of recursive sequences, or cumulative sequences, is abstract to grasp quickly by students. So, these activities help students to concretize something abstract. I actually used it on my student. We were studying number sequences, and I found it hard to find materials that made this transition smooth. So, I implemented paper folding first. I asked how often he thinks we can fold the paper, and he said until it becomes a dot. Then, I wanted my student to start folding the paper repeatedly. We discussed a bit, and then I gave the triangle activity. It was an excellent lesson since I could implement something I learned in the class in my tutoring.  For question 16: for even numbers : For powers of 3: