All of the responses from the student confirmed many of the points presented during our in-class discussions. The student is in Grade 12 and she enjoys learning in general which includes the subject of math. She enjoys the fact that she can and does use some of the things that are taught in math class and apply in to real life situations. This is similar to how many of us felt when we were taking math in high school. One interesting point that she brought up was the fact that she enjoys learning how to use calculators. We can take this as a reminder to keep up to date on current technologies that may be applicable to the teaching of math and try different ways of incorporating those technologies. We can use these technologies as teaching aids and encouraging the students to understand how to use these technologies to apply the math skills that they learn.
Her response to “What are your dislikes?” was not surprising. The enjoyment of math disappears when the teacher explains things so quickly that she doesn’t understand. She mentioned that if she was the teacher, she would teach math slower but understood that this would mean that the entire curriculum may not be taught in time. The student also mentioned she sometimes drifted off without meaning to when the teacher is lecturing. Then she would catch herself and spend time trying to catch up what the teacher had previously said. All of this has been brought up in this class and in other classes as well: the concept of teaching quality versus quantity. In order to prepare students for the next year, the curriculum should be followed, but if the curriculum is taught instrumentally and monotonously, then the students are not really learning. Teachers should be striving to teach the curriculum in a timely manner using interactive, relational techniques. While this may be easier said than done, it should always be one of our goals as educators.
The student did see math as being useful in life. She feels that she has already been taught everything in math that she needs for life. Specific examples included going to a store and calculating that she had enough money for specific items. She also mentioned the ability to calculate taxes as being a useful skill. She didn’t mention much use in math skills beyond basic addition, subtraction and multiplication.
As a teacher, while you want your students to be successful and thrive in your class, you also have to be realistic. Not all students are stellar math students and in some cases, you have to be honest with them and let them know that they will not get high marks in your math class. That does not mean you don’t keep on encouraging and teaching them, but you also need to ensure that they understand that, despite their low math marks, they will still succeed in life even if they don’t go any further in their math education. These two viewpoints reflect the reality of math education and in some situations, as a teacher, you have to realize, understand and accept the needs and limitations of your students and not just be focused on the possibilities and potentials of the students.
We also interviewed the Head of the Mathematics Department at a small Vancouver school to gain insight from her experience in teaching secondary mathematics. We asked for her advice on how to handle students who hate mathematics. In Mrs. X's experience, when students arrive to high school they are usually a “math mess”. This hate and fear of mathematics usually originates at home and is further escalated when the primary schools give students an insufficient mathematical grounding. Mrs. X's dialogue demonstrates that mathematics is a cumulative subject and weakness at any level will affect the ability of students to perform and learn mathematics at a higher level. Thus to improve secondary students' math interest, there needs to be a change in the attitudes coming from home and in the students’ primary education.
We inquired how she might respond to a student who says “I hate math.” Mrs. X handles this situation by relating to her students honestly. Using honesty as a teacher creates a trusting relationship between the educator and student, and in turn the student is more likely to listen and respond to the teacher's advice. Reflecting that hatred is usually a result of fear and not being able to do things well, Mrs. X would discuss with the student what actions they both could take to move the student forward. Mrs. X's approach to handle a student's hatred of math emphasizes the student's responsibility in changing their attitude. Admittedly students will probably be sceptical that math skills can improve, so she explained you have to proceed gradually and promote situations where a student can be successful. In our dialogue with Mrs. X we learned that being realistic, engaging and encouraging can stimulate a more positive attitude towards math.
We were also introduced to methods for handling differing levels of ability within the classroom. Mrs. X acknowledges that every person learns differently and recommends that teachers give their students opportunities to learn in different ways. In her classroom she uses visual and auditory teaching methods, as well as activities that involve the students moving around. Further she explains the importance of being able to rephrase and present materials in many ways. The ideas Mrs. X uses to stimulate learning in her classroom reflect the philosophy that all students should be able learn given the proper stimulus. As teachers we are responsible for acquiring a wide rage of tools, abilities and techniques to teach any group of students.
As well as engaging her students mathematically, Mrs. X's strategy is to keep her students consistently interested and invested. She relates teaching to selling a product. The delivery must be captivating, as most students like the presentation of the material more than the math itself. Mrs. X makes mathematics applicable to the real world, which makes it important to her students. She looks at real world applications in everyday life and makes her students think about news articles, history and things they care about. Her goal is to “make them think and responsible for it.” This approach deflects from the common perception that math has no purpose in “real life.” She proves to them through each example that what they are learning is relevant and useful. This probably generates more success in learning and retention because most students learn best by making connections between what they are studying and what they already know. Mrs. X will also engage her students physically in the classroom. She might have them move around the classroom, or engage them by having them put a finger on their nose when they get the right answer. This example of classroom teaching demonstrates the need to know your audience and their needs.
Lastly we inquired about Mrs. X's view on the curriculum. She is very displeased and disappointed with the new math curriculum. In her opinion it is not challenging enough for students, is not preparing students for university and will not stand up globally.
Hi Paul! Your group's presentation was very informative! I especially liked the responses from Mrs. X, because I also agree with her approach, that teaching is like selling a product. I find that getting students physically active during math class is rather difficult, so I really want to try the method mentioned above in the future!
ReplyDeleteHey Paul, I really enjoyed your groups presentation as well. I also agree with Min's comment about "teaching = selling a product".
ReplyDeleteI wanted to thank you for going further into discovering the new changes in the curriculum. It's rather unfortunate that they are watering down the content so that students seem to be "smart" or "getting good grades."
I really had to agree with what Mrs. X said that "our students won't be able to compete at a global level." This in my opinion is quite true, in countries outside of North America, it seems like they are pushing their students more and more.
While, you were presenting and talking about when people should learn the basics of math, I thought to myself, obviously in elementary school. To connect this with another presentation(Shannon, Edward and Debora), one student said that elementary school math was a joke.
This indicates to me at least that students are not gaining a deeper level of understanding of math at an early age, and it's not like they are not capable, it's just because the system thinks they can't handle the work. Which brings me to my next thought, maybe elementary teachers shouldn't be teaching all the subjects? I say this because, I asked myself well what was different in my elementary experience, and since I went to Chinese public school in China, starting from grade 1, you have teachers for every subject, and further more, you will have the same teachers for at least 3 years in a row. To compare this with my experience in Canada,(I went to school here up until grade 2 and then started from grade 1 again once I went to China, since I didn't know the language) I was in a mixed class of second and third graders. I enjoyed math so much that after finishing my work I begged my teacher to give me some of the 3rd grade math that my older classmates were doing, she was rather shocked that I wanted to do more, but she refused to give me the extra work.
To further explain my point, the difference of math that I was doing in grade 2 and grade 3 in Canada, is that while I was adding/subtracting two digit numbers, my 3rd grade classmates were adding/subtracting three digit numbers. I don't think I have to wait an entire year to start doing the later, but my teacher at the time thought so, and it probably wasn't her fault, but in her mind she probably thought that if I let him do 3 digit number addition right now, what will I teach him in grade 3?
To conclude, I'm a strong believer that our curriculum should maintain a high standard and be comparable to other countries' curriculum. To ask less of our students today means that the future is going to be lazy. I hope that we as a class can keep this in mind and try to push our students as much as their capacity allows them to. After all isn't this how we as a civilization have advanced?
Good work on the interviews and research you guys. I will just reiterate what has already been said by Min and Niyaz. To teach is to sell a product, in our cases we are selling math, not an easy thing to do. I feel that this is such a hard "product to sell" because of what Mrs X and Paul discussed with regards to the new curriculum. Although, I don't feel that it is entirely the the fault of the curriculum, it is also do to the fact that this is a harder subject to fully understand and is a subject that hasn't been taught overly well at all levels in the past. I also agree with Niyaz when he says that, at the elementary grades, not all subjects should be taught by the same teacher, I feel that this could greatly increase the success of more students without watering down the curriculum.
ReplyDeleteNice job with the interview and curriculum changes! As we all know by now, this year the grade 10 curriculum was modified and I think it was by next year, grades 11 and 12 will also have been changed as well.
ReplyDeleteI share the same view about the curriculum changes that Mrs. X had as well. I feel as if 'watering down' the curriculum might make it easier for students in highschool, but it would be destructive to their self confidence when they begin university. Of course removing content would simplify a teacher's job and help with time management of teaching the concepts. However, I do wonder if this is actually a beneficial tactic in helping future students succeed in life, or is this change in the curriculum only made to make people's lives easier prior to university.
First of all: I like this online discussion! It's nice to be able to read everyone's thoughts and have the time to express your thoughts clearly.
ReplyDeleteBut that wasn't really wanted I wanted to say. I wanted mention on of the quotes that this group had from their teacher that essentially said that the new curriculum insults the intelligence of the students. This really spoke to me because I think it's true. Children and young adults are far more intelligent than I think we give them credit for, but unless we recognize and try to foster this intelligence they will not realize their full potential. This is something that I think I will be very conscious of in my teaching. I will try to challenge my students, but not only with the subject matter. I will challenge them to think and behave like adults. I remember in high school everyone simply wanted to be treated like adults, and I believe that given the opportunity, many of us would have been able to act like responsibly and maturely. This is getting a little off topic, but I feel that if we want our students to respect us, we need to respect them,and respecting their level of intelligence (whether it is high or low) is a huge part of that.
I also like what Paul said about the fact that students do not have a strong enough knowledge in basic mathematics. Is the solution to this problem a) Teach it to them well the first time around or b) Teach it to them over and over again until they get bored and insulted and start hating math?
Hi Paul,
ReplyDeleteI am very pleased that you brought up the issue of new math curriculum, I have talked to several math teachers, most of them strongly against the new curriculum. The biggest concern is with new curriculum, our students are not able to complete with their international counter-part on the globe scale. However, the worst part of all of these is the government does this without any consultation of teachers and parents.
I suspect that hidden agenda of the liberal party is to please their private sector big boss’s concern (shortage of skilled worker), such as plumbers, carpenters. With 80% of our students are going on to post secondary, http://communities.canada.com/vancouversun/blogs/reportcard/archive/2010/09/02/post-secondary-trends-in-b-c.aspx
http://www.straight.com/article-200885/natalie-bocking-campbell-must-stop-starving-bc-universities
Gordon Campbell and his liberal party can’t wait any long to change our public school curriculum to address their private sector big boss’s concern before they lose power on next election.
The so call work experience, online learning and trades training in high school "personalized learning" and "twenty-first century learning" is a smoking gun. The real agenda of the change of the new curriculum is to please the private sector and another way for the government to save money and short change students on a quality public education. Work experience is a wonderful thing if the students desire to have them. Our high school is to prepare students to take on any challenge that they will face down the load, but not to produce plumbers, electricians, etc, producing trade worker s are the job of BCIT and other job training institution.
By the way who has a say on our students’ educational needs, is the parents, students, teachers, not the government.Ironicaly, in this case, Margaret MacDiarmid. Minister of Education, who has 23-year career as a family doctor, not even one day as an educator, has a say on this issue.
What a joke!
The calibre of the science and math curriculum is already inferior to many countries in the world. Many Asian parents, for example, are putting their children into extra math tutoring after school. So those who don't have this opportunity are disadvantaged, despite being in the same school system. I agree with all the comments above that we should not shortchange or expect less from our high school students - if we aim high, students will have a chance to rise to challenges; but if we aim low, students will be complacent with less (and consequently, as mentioned above already, will struggle in in university or oversesas).
ReplyDeleteWow, great discussion you all are having here and that was an excellent presentation your group gave on Friday Paul. I completely agree with what you’ve all stated above (aside from maybe Zhi Song’s liberal hidden agenda comment haha) and I just wanted to remark on my own experience on the math curriculum here in BC. I went to elementary and high school here and I always thought my early years of math schooling were also a bit of a “joke.” It wasn’t that I was taught the math material poorly. In fact, for the most part, my teachers taught math quite well; however, I felt as though we were taught practically the same thing year after year. Even in high school, once we were taught about algebra in grade 8, it felt as though nothing substantially more different or challenging was taught again until grade 12. Niyaz made a terrific suggestion above on how elementary school teachers maybe shouldn’t be teaching all the subjects. I think part of the problem in math education is that many elementary school teachers do not have a strong enough understanding of math themselves to be able to feel comfortable in teaching it at a higher level to their young students. Maybe what we need is for elementary school to be a bit more like high school and have different teachers for every separate subject??
ReplyDeleteHi Paul, Meghan and Vincent,
ReplyDeleteIt seems to me that your research paper caught many of our attention for a good reason. All of us feel that the math curriculum is getting weaker and weaker year after year. Although Canadian kids spend more than six hours at school, their subject knowledge is less than that of european kids' who spend considerably less amount of time at school(at the elementary level it is 4-5 hours a day). Starting grade five, just like in China, each subject is taught by a different teacher qualified to teach that subject. By the end of grade two kids kwow times tables by heart, by the end of grade five they work with compound (complex) fractions and by the end of grade seven can solve algebraic ecuations. They master the concepts because they are thaught relationally and they can build on this knowledge. There is no need to teach them the same math concepts over and over again, year after year until it becomes boring and, I agree with Shannon,that they start hating it. I think adding two dgit numbers is the same as adding 6 digit numbers, so I don't see the point in adding one more dgit after one more year of schooling. I don't think kids in Europe or China, or India are any different than North American kids. The only difference is, and I think it is significant, that they start grade 1 at the age of 7, not at the age of less than 6, as in Canada and they are ready for school. Preschools in Europe are publicly funded so every child has access to it, and by the time they start school most of them can read, write and do basic arithmetic. And yes, they do have homework, lots of it. My oldest son (gr 10) used to have homework in grades 3-5, but it is out of fashion now. With this kind of work ethic we are setting our kids/students up to failure and they will give up on hard work later on in high school simply because they are not used to it.
I found your presentation very interesting, especially since you brought up the topic of the new curriculum. I wasn't surprised to hear that you came across a teacher who did not like the new curriculum but I was surprised, and pleased, to hear why they didn't like it. The comment that it was derogatory for the students, that it assumed they were stupid (although not their exact words) was I felt, refreshing to hear.
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