Monday, October 12, 2020

The three curricula that all schools teach

 

 It was a pleasure reading this article. I agree with many things Eisner discussed. Usually we only pay attention on what explicitly schools teach young people because at the end students’ performances are assessed based on these explicit curricula (i.e. subjects taken). I personally never thought about what schools implicitly teach. Since children spent most of their childhood in schools, every element and aspect of school environment should be counted for shaping the behavior of young people. In fact these things implicitly taught might have even bigger and longer influence on a child life into adulthood compared to academic subjects. These implicit curricula usually involved in preparing and habituating the students to cope with lives after or outside of a school setting.

Equally important to what schools teach is what schools fail to teach. One thing out of many is the development of cognitive processes. In subjects like mathematics, one of the goals is to improve student critical and logical thinking abilities. However, not a lot of things explicitly taught in school reflect these objectives. There is no guidelines for implementation nor sections in a subject that specially dedicate towards the training of how students think. Teachers usually teach out of a habit and can often neglect things that are “outside” of the subject content. I think during teachers’ education, we should learn how to train students to think using the means from the subject area as well as the physiological and psychology factors behind it.    

Curriculum often means the subject explicitly taught in school. However, one might consider schooling as a package that comes with all the three curricula that Eisner pointed out. It is not possible to only learn the explicit curricula when a student is raised in a school environment. In my opinion, school board should address the implicit curriculum as well as the null curriculum which can be addressed as an objective or goal to achieve in teaching. The current BC curriculum in mathematics addresses some of the cognitive thinking skills in the big ideas sections. However, there is no apparent addressment on what Eisner considered as implicit curriculum.   

Tuesday, October 6, 2020

Microteaching Topic

 For my microteaching class I will teach my group how to solve a Sudoku puzzle!

Monday, October 5, 2020

The Dishes Problem





By learning and working out these ancient puzzles (questions) and mathematics history from diverse cultures without using today algebra, we and students learn word techniques without symbolic algebra, as well as some information about the lives in ancient times. Doing these problems in a way ancient people would do gives imaginative and writing skills needed due to restriction from using symbols. Since it is a different way of reaching the same solution, it gives a new enjoyment. Word problem or puzzle story with images, it does not matter. We get some knowledge from both. 

Sunday, October 4, 2020

Battleground Schools: Discussion and reflection

 Mathematical education ideologies can be characterized in two polarities, namely progressive and conservative. From reading this article, I found that the development in mathematical education curriculums in the US lines closely with its historical and political events. The dominance of the  different two polarities depends on what was happening globally at that time. 

When reading the table for comparison between conservative and progressive teaching, I was surprised that throughout my education in the past 20 years, I was, especially in mathematics, taught more from  the conservative method than progressive. I did my elementary education in China and I was told before coming to Canada that I will find Canadian education very different from Chinese. I agree with that up to certain points. Here in Canada, we get less homework load and we don’t value marks from examinations as much as back in China. But in terms of the goals of math learning, nature of student work, and many more areas of interest, I find little difference between the two cultures. And during my time in  secondary and postsecondary education I did here, I found the teaching styles reflect more of conservative rather than progressive. 


Another thing I found interesting was that during the progressive reform, Dewey proposed the idea of doing mathematics, with experimentation and inquiry. Even though the process can be hard to control, messy and unsettling, it is thought to produce “scientific and democratic thinkers rather than rigidly obedient rule-followers. So, does this imply that the “obedient rule followers” cannot be “scientific and democratic thinkers”. With the belittlement of valuing precision and correctness, does this imply solving a mathematical question correctly is less important than the process of “exploring”. My concern is that the process of exploring can be hard to assess and grading such processes can be subjective. Therefore, how to standardize and make it practical should also be addressed. 


In the New Math period, I was impressed about the attempt math educators made to “create a unified, logical, highly abstract algebraic structure”. I actually like the idea of integrating some areas from modern mathematics into school math curriculum. That is because subjects like set theory, abstract algebra, and etc. don't require a high level of calculation skill. Instead, immersing students with the idea and broadening their view in mathematics can be helpful in developing thinking skills. This transition needed a longer period of time to accommodate “local conditions, cultures, or educational traditions”. However, with lack of persistence and because of its high demand, New Math programs started to fade after the 1970s. I am wondering, since not all students are suitable for the new math program, can school make it as an elective course made for students who are interested and willing to spend effort in learning it. I like the New Math program but I hardly agree with their view that “every student was a potential future rocket scientist.  


Friday, October 2, 2020

Reflection on Art/Math presentations

I was impressed by the quality in all the presentations. I have never though that there are so many different connection one can make between mathematics and art. People really carried the topic above and beyond.  It is for sure different presenting online compared to presenting in a classroom, yet all the groups made good effort in preparation and made it happen. Also, it is such an experience working with our peers virtually throughout this project. This will prepare us well in the future teaching career in case face-to-face instructions are not available. I look forward to seeing more awesome projects in the rest of the semester. 

Thursday, October 1, 2020

Assignment 3 Final Version

  Assignment 3 Final Version