Summary of Learning

Well, the time has come for my experience in ECMP455 to come to an end, but my connections with educators online is just getting started. I regret letting myself have a slow start in this class as coming back to university after being a student-teacher for four months was extremely difficult. I am more than happy to say it was well worth it, and I learned so much in this class and interacted with individuals around the world that I never would have met if I wasn’t introduced to Twitter.

In ECMP455 the most important thing I took out of the class is understanding the importance of collaboration, sharing, and asking for resources or assistance online. I have always been fully aware of Twitter and blogging but I honestly did not know how to properly use them, so therefore I felt like I had no interest in it. Because of this class I have come in contact with so many people around the world, shared resources, learned from them, and actually helped them learn! Which is really exciting, and I wouldn’t have had that opportunity if it weren’t for social networking and building our Personal Learning Network. Tweet Deck has helped me follow #saskedchat, #slowmathchat, and has helped me collaborate with these particular educators willing to help me as well. BlueJeans and Blackboard Collaborate were extremely cool, being able to meet online, hear audio, see visuals, meeting with people without having to be in one classroom at the university. I also really enjoyed FlipGrid (which you’ll see in the video below), great way of getting responses from people, sharing them, and being able to capture that information using Screencastify. I learned about so many great tools throughout ECMP455 , I am so grateful for this class and cannot wait to use what I’ve learned in my classroom!

Take a look at my group’s video about what we all took away from ECMP455!

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Final Goal = Reached!

My initial goal during my learning project was to eventually be able to incorporate sign language into music as a music educator. Ideally I would have liked to complete an entire song, and still hope to do so, but in the mean time I chose to work towards completion of a chorus.

The song I chose was Masterpiece – Jessie J, a song that talks about not being perfect, still working towards our goals, and completing our true masterpiece. It took be a duration of about 3 weeks to learn the words individually, get the timing down pat, and combining the ASL with the soundtrack.

I am so proud of how far I came with learning ASL, along with the community I became apart of online. After my first tweet regarding ASL resources and suggestions, I had a lady who is a teacher in Preeceville reply who personally has a hearing impairment herself. This was absolutely incredible, I was so honored to have to reach out to me and offer to meet one-on-one to help me learn phrases and answer any questions I had about ASL.

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Not only has this learning project led me to be a novice signer, but I have connected with an entirely new #iechat and #spedchat aimed towards Inclusive Education which is also a strong passion of mine. Social networking is so incredibly valuable, I am sothankful for ECMP455 providing me with the opportunity to understand how to properly many different educational and technological tools.

Below are my two final videos displaying the words I learned to sign through ASL slowly without the music,then the final stage with the music. Signing lyrics to a song is so difficult as you have to make the timing match up and sometimes it is really quite quick! Thank you to everyone who helped, encouraged, and supported me through this. I received incredible feedback on my blog and replies via Twitter, I have such a phenomenal PLN out there. #thankyou!

Math 9 Year Plan

Real World Application of Probability (Statistics and Probability): 

SP 9.2 – Understanding of collection, display, and analysis of data through projects.

SP 9.1 – Statistical Data.

SP 9.3 – Understand the role of probability in society.

SP 9.4 – First Nations and Metis use of probability and statistics.

 

Number Sense (Number):

N 9.2 – Understanding of rational numbers.

N 9.3 – Square roots, include square root of positive rational number.

N 9.1 – Powers with integral base (exclude base 0) and whole number exponents.

 

Linear Relations (Patterns):

P 9.1 – Understanding linear relations.

P 9.2 – Solve situational questions using linear equations.

P 9.3 – Single Variable linear inequalities with rational coefficients.

P 9.4 – Polynomials (less than or equal to 2).

 

Understanding 2D and 3D objects (Shapes and Space):

SS 9.2 – Area and surface area of various shapes.

SS 9.3 – Understanding the similarity of 2-D shapes.

SS 9.1 – Circle properties.

SS 9.4 – Line and rotation symmetry.

Workplace and Apprenticeship 20

Volume, Surface Area, 3D Objects and Triangles

WA20.1 (#1) Expand and apply understanding of the preservation of equality including solving problems that involve the manipulation and application of formulae for volume and capacity, surface area, slope and rate of change, simple interest, and finance charges. [C,CN,ME,PS,R,T]

WA20.3 (#2) Extend and apply understanding of surface area, volume, and capacity using concrete and pictorial models and symbolic representations (SI or imperial units of measurement). [C,CN,ME,PS,V]

WA20.5 (#3) Extend and apply understanding of 3-D objects including: ○ top, bottom, and side views ○ exploded views ○ component parts ○ scale diagrams. [CN, R, T, V]

WA20.4 (#4) Solve problems that involve at least two right triangles. [CN,PS,T,V]

Visual Representation of Math

WA20.9 (#5) Demonstrate concretely, pictorially, and symbolically (with and without the use of technology) an understanding of slope with respect to: ○ rise over run ○ rate of change ○ solving problems. [C, CN, PS, V]

WA20.11 (#6) Extend and apply understanding of representing data using graphs including: ○ bar graphs ○ histograms ○ line graphs ○ circle graphs. [C, CN, PS, R, T, V]

Financial Planning

WA20.7 (#7) Demonstrate understanding of compound interest. [CN, ME, PS, T]

WA20.8 (#8) Demonstrate understanding of financial institution services used to access and manage personal finances, including credit options. [C,ME,CN,PS,R,T]

WA20.6 (#9) Demonstrate understanding of personal budgets and their importance for financial planning. [CN,PS,R,T,V]

Solving Problems and Proportional Thinking

WA20.2 (#10) Demonstrate the ability to analyze puzzles and games that involve numerical reasoning and problem solving strategies. [C,CN,PS,R]

WA20.10 (#11) Extend and apply proportional thinking to solve problems that involve unit analysis and scale. [C,CN,PS,R,T,V]

Workplace and Apprenticeship 10 Year Plan

Workplace and Apprenticeship 10 Year Plan

Proportional Reasoning-Big Idea

Theme: Dollar Dollar Bills You All

WA10.10

Apply proportional reasoning to solve problems involving unit pricing and currency exchange. [CN, ME, PS, R, T]

WA10.11

Demonstrate understanding of income including:

  • wages
  • salary
  • contracts
  • commissions
  • piecework
  • self-employment
  • gross pay
  • net pay.

[C, CN, R, T]

Theme: Measurement

WA10.3

Demonstrate using concrete, and pictorial models, and symbolic representations, understanding of measurement systems including:

  • The Système International (SI)
  • The British Imperial system
  • The US customary system.

[C, CN, ME, T, V]

WA10.4

Demonstrate, using concrete and pictorial models, and symbolic representations, understanding of linear measurement, including units in the SI and Imperial systems of measurement. [CN, ME, PS, R, T, V]

WA10.5

Demonstrate using concrete and pictorial models, and symbolic representations, understanding of area of 2-D shapes and surface area of 3-D objects including units in SI and Imperial systems of measurement. [CN, ME, PS, R, T, V]

Theme: Trigonometry

WA10.6

Apply understanding of the Pythagorean Theorem to solve problems. [C, CN, PS, V, T]

WA10.8

Demonstrate an understanding of primary trigonometric ratios (sine, cosine, and tangent). [CN, PS, R, T, V]

Themes: Angles

WA10.9

Demonstrate understanding of angles including:

  • drawing and sketching
  • replicating and constructing
  • bisecting
  • relating to parallel, perpendicular, and transversal lines
  • solving problems.

[C, ME, PS, T, V]

Themes: Similar Polygons

WA10.7

Demonstrate understanding of similarity of convex polygons, including regular and irregular polygons. [C, CN, PS, V, T]

Themes: Salt N’ Peppa

WA10.1

Demonstrate understanding of the preservation of equality including solving problems that involve the manipulation and application of formulas related to:

  • perimeter
  • area
  • the Pythagorean Theorem
  • primary trigonometric ratios

[C, CN, ME, PS, R, T]

WA10.2

Analyze puzzles and games that involve spatial reasoning using problem solving strategies. [C, CN, PS, R]

 

Rationale: We chose to start with the Dollar Dollar Bills You All Theme because money is something that is relatable to all students, so it is a good way to grab students attention at the beginning of the course. The unit pricing portion introduces proportional reasoning, which is the main topic of this course, and the income outcome fits well with the unit pricing because they both deal with money.

Next, we chose to move on to the measurement theme because it build on the proportional reasoning concept from the previous theme (converting between measurement systems), as well as introduces and prepares students for the measurement aspect of trigonometry, as they may have to measure sides of triangles or angles.

After Measurement, we get into Trigonometry, which, again, builds on proportions (ratios) and finding sides and angles without having to measure. They can use the measurement concepts from the previous theme.

The Angles theme comes next because it builds on the basic angles concept  they dealt with in the Trigonometry theme.

            From Angles, we move into Similar Polygons because it deals with most of the concepts covered so far in the course. There is an emphasis on finding angles, sides, and  determining if shapes are similar (proportions).

The last theme is called Salt N’ Peppa because the concepts within it can be sprinkled throughout the course, as they are all covered at different points. It involves manipulating perimeter, area, Pythagorean Theorem, trig ratios, income.

Foundations 30 Year Plan

Foundations of Mathematics 30 Year Plan

Theme: Probability

FM30.2

Demonstrate understanding of inductive and deductive reasoning including: analysis of conditional statements analysis of puzzles and games involving numerical and logical reasoning making and justifying decisions solving problems. [C, CN, ME, PS, R]

FM30.3

Demonstrate understanding of set theory and its applications. [CN, PS, R, V]

FM30.4

Extend understanding of odds and probability. [C, CN, ME]

FM30.5

Extend understanding of the probability of two events, including events that are: mutually exclusive non-mutually exclusive dependent independent. [CN, PS, R, V]

FM30.6

Demonstrate understanding of combinatorics including: the fundamental counting principle permutations (excluding circular permutations) combinations. [ME, PS, R, T, V]

FM30.8

Research and give a presentation of a current event or an area of interest that requires data collection and analysis. [C, CN, ME, PS, R, T, V]

Theme: Investment

FM30.1

Demonstrate understanding of financial decision making including analysis of: renting, leasing, and buying credit compound interest investment portfolios. [C, CN, ME, PS, R, T]

Theme: Logarithms

FM30.7

Demonstrate understanding of the representation and analysis of data using: polynomial functions of degree ≤ 3 logarithmic functions exponential functions sinusoidal functions. [C, CN, PS, T, V]

 

Rationale for Order of Themes:

            Chose to begin the Foundations 30 year plan with Probability as I saw it encompassed the majority of the outcomes for this course. Probability is also introduced in Grade 9 so I felt students would have a chance to recall that content from previous math years.

Next I chose to create the Investment theme to branch off of Probability, with potential correlation between probability of stock or mortgage worth in investments. I also combined logarithms into investments since there is an opportunity to introduce logs within investments when solving for an unknown variable as an exponent.

 

Erase Limitations

Screen Shot 2015-04-06 at 5.04.15 PMAs a preservice teacher I wanted to share an inspiring video shared by Think Inclusive via Twitter earlier today. A bright, passionate, intelligent young lady by the name of Megan Bomgaars spoke up to educators about how the biggest disservice in allowing her in our classroom would be if we limit her capabilities. I think it is extremely important for teachers to get to know their learners, get to know the skills, talents, and dreams each one possesses. Deciding who can or cannot learn in our classroom validates our inabilities to meet the needs of all of our learners, it does not accurately determine the capabilities of each student.

Megan makes an excellent point that it isn’t our job as teachers to only teach subject-based outcomes to our students, we should also be teaching transferable skills and behaviors for them to take away with them and use outside of school. Teachers cannot limit their students by deciding who is permanently dependent of others or lowering the expectations of anyone. Some goals may be harder to reach or may take longer to accomplish, but nonetheless every student should have the same opportunity to be successful and should receive necessary assistance and guidance to do so. My favorite quote from Megan’s video was, “Teach me respect. Respect is give and take”; along with life skills, teaching independence, safety, and a strong voice to speak up is essential. If we practice exclusion in our classrooms, we are deliberately teaching our students that this is OK in society as well and they will take that behavior into their lives outside of school.

Good teachers teach and learn with their students”, another golden message from Megan. In education we always preach the importance of acceptance and inclusion of all cultures, suggesting culturally diverse students should teach the class about their history and culture. This is an excellent idea, so why don’t we take into the consideration the thought of classmates or peers with disabilities speaking to students without disabilities about their successes or struggles as well. No information is more accurate than when it comes from that particular individual themselves, and if a safe, accepting classroom environment is created from day one this type of conversation can be extremely powerful.

I have always been a strong advocate for Inclusive Education, and this final semester of my university career has fueled that fire even more. Between my Ed Psychology course, ECMP learning project, and my new Inclusive Ed family on Twitter, I feel even more passionate and comfortable about ensuring inclusion exists within my future classroom.

Please watch the video below and see how Megan’s powerful message can inspire you! Just remember, erase all limitations.