Math
To be qualified to teach math in an elementary classroom, I must demonstrate content knowledge in arithmetic, algorithms, algebra, geometry, and statistics as well as many other numerical theories. In order to increase students’ critical thinking skills I must be able to guide them to work collaboratively, explain their reasoning, inquire, and critique their peers work. Also, I need to increase my students’ logical thinking, reasoning, and problem solving in order to help them apply their learning and to build their own models. Most importantly, I must encourage my students not only to make sense of problems, but to persevere in solving them as well. Essentially, the purpose is to prepare all students for the global market and careers such as business, medicine, science, engineering, and technology.
The math courses I have taken in my college career have given me many of these skills. My classes Math 107 and 207 have taught me numeration, set theory, number theory, properties of numbers, algebra, geometry, and statistics. These courses also prepared me to think critically about math, make sense of math problems, and present content matter coherently. However, I hope to improve my math skills in probability theory with additional studying and practice since this is an area with which I still struggle.
I have chosen my Problem of the Week (POWs) assignments from Math 207 as my artifacts. These artifacts demonstrate my ability to make sense of problems and my ability to explain my work intelligently. They also highlight my skills in arithmetic, algorithm, algebra, geometry, and statistics. The assignments are aligned with K-5 standards and illustrate diverse methods to solve problems such as accentuating patterns and drawing diagrams.
I also include as one of my artifacts a math lesson plan about picture graphs I implemented in a first grade class. The lesson demonstrates my ability to formulate a lesson plan and also my knowledge in organizing, representing, and interpreting data. This lesson aligns with standards 1 of the California Math Standards or first grade. In the end, my objective is to teach my students to approach math as critical and resourceful thinkers.
To be qualified to teach math in an elementary classroom, I must demonstrate content knowledge in arithmetic, algorithms, algebra, geometry, and statistics as well as many other numerical theories. In order to increase students’ critical thinking skills I must be able to guide them to work collaboratively, explain their reasoning, inquire, and critique their peers work. Also, I need to increase my students’ logical thinking, reasoning, and problem solving in order to help them apply their learning and to build their own models. Most importantly, I must encourage my students not only to make sense of problems, but to persevere in solving them as well. Essentially, the purpose is to prepare all students for the global market and careers such as business, medicine, science, engineering, and technology.
The math courses I have taken in my college career have given me many of these skills. My classes Math 107 and 207 have taught me numeration, set theory, number theory, properties of numbers, algebra, geometry, and statistics. These courses also prepared me to think critically about math, make sense of math problems, and present content matter coherently. However, I hope to improve my math skills in probability theory with additional studying and practice since this is an area with which I still struggle.
I have chosen my Problem of the Week (POWs) assignments from Math 207 as my artifacts. These artifacts demonstrate my ability to make sense of problems and my ability to explain my work intelligently. They also highlight my skills in arithmetic, algorithm, algebra, geometry, and statistics. The assignments are aligned with K-5 standards and illustrate diverse methods to solve problems such as accentuating patterns and drawing diagrams.
I also include as one of my artifacts a math lesson plan about picture graphs I implemented in a first grade class. The lesson demonstrates my ability to formulate a lesson plan and also my knowledge in organizing, representing, and interpreting data. This lesson aligns with standards 1 of the California Math Standards or first grade. In the end, my objective is to teach my students to approach math as critical and resourceful thinkers.