Skip to main content

'Finnish' Strong: Mathematical Mindsets, Pt. 1

 

This is the second time I'm reading Jo Boaler's Mathematical Mindsets, and I couldn't get past the first page in Chapter 8 before stopping multiple times! Reading with my pen in hand, I'm starring and underlining things in addition to what I noted last time. (Sorry for those who find writing in books to be sacrilegious!)
Right off the bat, I appreciate how firmly Boaler communicates her dislike and distrust of testing and grading student "understanding". By testing students, teachers encourage them to see their success through a lens of letter and numbers. "Such crude representations of understanding not only fail to adequately describe children's knowledge, in many cases their misrepresent it" (Boaler, 2016, p. 141).
Having the unique opportunity to teach Grade 8 and Grade 11/12 math, I see the widespread beliefs students hold about their mathematical abilities. Although it is already quite developed in Grade 8, students are still much more willing to work on math, simply for the sake of understanding and enjoyment. Convincing my high school students to play with a puzzle or explore completing the square for any reason other than "it will be on the test" is a feat that is not for the faint of heart! 

I am intrigued by Finland's lack of testing during the school year. This was probably my biggest 'stop moment.' 
"Students [in Finland] do not take any tests in school...Instead, teachers use their rich understanding of their students' knowledge gained through teaching to report to parents and make judgements about work...Students of the problem-solving school did so well in the standardized national exam because they had been TAUGHT TO BELIEVE IN in their own capabilities; they had been given HELPFUL, diagnostic information on their learning; and they had learned that they could solve any question, as they were MATHEMATICAL PROBLEM SOLVERS" (Boaler, 2016, p. 142 - emphasis my own)

Reading this sparked my curiosity so much that I did a bit of a deep dive into what the internet had to say about Finnish schools. In 2011, Smithsonian Magazine published an article entitled Why Are Finland's Schools Successful? Touching on many of the same motivations, the writer describes the freedoms that teachers are given to work with and reach every student. Interestingly enough, the following main themes are touch upon:

  • "Teachers are trusted to do whatever it takes to turn young lives around."
  • "Many schools are small enough so that teachers know every student. If one method fails, teachers consult with colleagues to try something else. They seem to relish the challenges."
  • "Finland's schools are publicly funded. The people in the government agencies running them, from national officials to local authorities, are educators, not business people, military leaders or career politicians."
  • "Every school has the same national goals and draws from the same pool of university-trained educators. The result is that a Finnish child has a good shot at getting the same quality education no matter whether he or she lives in a rural village or a university town."
  • "Teachers in Finland spend fewer hours at school each day and spend less time in classrooms than American teachers. Teachers use the extra time to build curriculums and assess their students."
The article goes on, demonstrating a wide difference between Finland and North America, but I'm motivated to consider my reasons for testing and assessing. Finland teachers focus on relationship and deep meaning behind their assessments. They claim to be confused by the fascination North American teachers have on standardized testing, and they use observations and conversations to see each individual student and obtain a solid grasp of their true understanding, rather than basing a grade on a snapshot of understanding that a test provides. Combine this with Boaler's idea of providing growth messages and diagnostic feedback, and surely you have an unstoppable model for mathematical education!


Through all of this, I'm left to wonder:
  • What could that look like in Canada? 
  • This is great for smaller schools, but how can this be practical with hundreds of students through one classroom in a given day?
  • How does BC's Proficiency Scale support or negate this idea of relationship and descriptive feedback versus grading? Does it have the same negative influence that providing a grade does?
  • What do you do when parents (or students) insist on receiving a grade?

This now feels like rambling. I've only gotten through the first part of Boaler's chapter, so stay tuned for Mathematical Mindsets, Part 2!

Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages, and innovative teaching. Jossey-Bass & Pfeiffer Imprints.








Comments

  1. Fiona, I admire how you extrapolated on your interest in Finland to check out the Smithsonian Magazine.

    Finland is a comparable country to Canada in that we share similar geography, climate and natural resources, especially forestry. There is a difference on the school side. In Finland, students do not start compulsory school until they are seven years old. Seven! We have high expectations for our grade 2s in Canada already. I am now curious if starting children later results in more attachment to their home guardians, and perhaps fosters a desire to go to school. I imagine there is rich research that looks at this. I wonder if there are English language learners in Finland.

    Having built in time in the day to take time for assessment would be a gift. When I taught in Vancouver I had a prep each day and was able to feel connected with where each student was at. I did a lot of FlipGrid assessments where they would video their understandings.
    To your question of what it could that look like in Canada, I feel that if we opted for more looping of classes there would be less need for constant testing. Many years I feel I just get to know the student and how to push/challenge them and then seemingly it is abruptly June and off they go. Or perhaps students build math portfolios that follow them from grade to grade, so the receiving new teacher may not feel the need to test at the beginning to see where they are at.

    ReplyDelete

Post a Comment

Popular posts from this blog

BCAMT 2023 - What is Extending? - Phil Stringer

 New Reporting Order has been followed up with videos Chris Hunter bit.ly/BCAMT2023 What does "extending" look like in your math classroom? Working in how to calculate using spreadsheets ("if", etc.) Extension is not synonymous with perfection! How do students set up, attempt, demonstrate, etc? We make answer keys with mistakes ALL THE TIME, and we are extending at Grade 9 math! Play with AI or ChatGPT to get extending and synthesizing questions.  WrongMath on Twitter -- collection of photos with bad math @xphils     pstringer@croftonhouse.ca

BCAMT 2023 - Helping Students Enjoy Pre-Calculus 11, 12 and Calculus Courses - Ron Coleborn

What does it look like when students are enjoying a course?  The thinking process, as long as we feel confident and have support Getting the thinking and not feeling like we have to know it right away because of a test tomorrow, etc. Assignments, Desmos (activities and regular graphing calculator) Not easy because there is a lot to cover! Presentation Folder Most of the assignments in the folder should take ~4 days, so give a week or so. 1-1.5 class periods, the rest is outside of class.  Contact Ron: ron.coleborn29@gmail.com Seeking to find material that fits into both content and competency - what hits the learning standards as a whole?  Desmos:  Inserting picture and create graphs/points around that Mystery Functions - creating using piecewise functions Desmos Selfie - picture behind and create a graph pic (PreCalc 12 for transformations, could do PreCalc 11 with more simplistic functions) Example 2 Leap Frogs - Quadratics Either with counters and squares or the ...

BCAMT 2022 - Standards Based Assessment: An Assessment Method for all Math Students to Belong - Amos Lee

Google Drive Folder with Resources HERE "Developing" - let them use notes! They just won't progress beyond that level Core questions = all do, Advanced questions = can do, if you want to get to those top two If you want to get to xxx course, you need to do advanced questions Use curricular competencies rubric Demonstrate levels of mastery  "Compare the following..." Tests are split into learning outcomes, each section just gets one overall Tests -- "Celebration of learning" Mid-course Feedback from Gr. 12 students: Positive: Decreased anxiety levels during test Focus on big concepts Lets me know if I know concepts, not the right answers Have purpose in re-learning Less stress on ensuring get each and every mark Negative: No sense of urgency Feel stress of not knowing the percentage Multiple Choice Questions - Why? Take the work they have scratched down into account Reassessment: Didn't ask them to reassess the whole test; they can just do part of ...