Throwback Thursday – Personal Whiteboards

Over the summer, we thought it would be fun to run some of the most popular posts from the past. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!


Personal Whiteboards

Originally published 3/25/2009

whitebds

In the post about Number Strings, I referred to a student’s “personal whiteboard”.  I use whiteboards throughout the day as a way of informally assessing students.

Instead of a store bought whiteboard, I prefer to provide students with a customized version.

  1. Start with a glossy page protector, a box of which can be purchased inexpensively on eBay or at Sam’s Club or Costco.
  2. Insert a brightly colored sheet of card stock. Cardstock makes the whiteboard a little sturdier and by using color on one side, I can instantly tell when the entire group of students is ready.
  3. Add appropriate pages. In the first grade, I might have a pre-made number bond page ready to go. When I’m teaching a lesson on adding or subtracting, I’ll insert a place value chart.

By keeping a classroom set of these on the shelf with the student textbooks, they would last an entire school year. Here are some printables to get you started:

You can find information on Alexandria Jones’ Pharaoh’s Treasure in the picture at Let’s Play Math.

These are also great for games and learning centers…

Sudoku, Kenken, Contig or

The Hex game:

white-board

Or any of the international logic games on the handouts page of this site.

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Word Problem Wednesday – Rae’s Oranges and Apples

Summer’s here, but you’re missing your math? Don’t despair – we’ve got you covered. Check the site each week for one whopper of a word problem that’s sure to challenge!


This week’s problem comes from Fan-Math i-EXCEL Heuristic and Model Approach Primary 5 by Li Fanglan, published in 2008 by FAN Learning Publications.

Rae bought 100 oranges and 46 apples. After she used an equal number of oranges and apples for making fruit juice. The ratio of her remaining oranges to apples became 5:2. Find the total number of oranges and apples she used.

 

 

Submit your solutions and we’ll post all interesting strategies next week.


Last week’s problem and solution:

117 children took part in an art competition. 2/7 the number of girls is equal to 1/3 the number of boys. How many girls took part in the art competition?

How did you do?

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Throwback Thursday: If I had a million dollars, ok $1000…

Over the summer, We thought it would be fun to run some of the most popular posts from the past. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!

I updated the cost of the materials to current 2017 prices (in bold) for the US Edition of Primary Mathematics, which are higher but include shipping on orders over $50. That puts us over the original $1000 threshold, but not bad…

For students that struggle, I would now recommend a recently published series: Visible Thinking in Mathematics with A & B titles at most grade levels that run from $12.80 to $14 each.


If I had a million dollars, ok $1000…

Originally published 6/20/2013

Recently, I received a question from an excited teacher who had just received a grant to spend on her classroom: “If you had a $1000 dollar grant and taught second grade, what would be the most important pieces of Singapore Math you’d buy?”

If I had a million dollars, ok $1000… here are two scenarios.

#1 Using the curriculum in 2nd grade as your main curriculum

  1. A classroom set of the 1B & 2A textbooks @ $9.00 each, so if you had 24 students + 1 for teacher: 25 x $18 = $450     ($735)
  2. Possibly a set of the 2B textbooks: 25 x $9 = $225     ($367.50)
  3. A Teacher Manual for 1B, 2A & 2B: 3 x $21 = $63     ($88.50)
  4. A workbook for reference and problem ideas for 1B, 2A & 2B = 3 x $9 = $27     ($44.10)
  5. Challenging Word problems level 1 & 2: 2 x $8.50 = $17.00     ($29.40)
  6. Intensive Practice: 1B, 2A & 2B: 3 x $8.80 = $26.40     ($38.40)
  7. Process Skills in Problem Solving L2: $10.70     ($12.80) 
  8. Math Sprints Masters, Levels 1 & 2: 2 x $31 =$62     ($68)
  9. Elementary Mathematics for Teachers by Parker & Baldridge: $29     ($33)
  10. Place Value Strips: $12.50     ( $13.95)

That’s $625.80 (Currently: $1430.65 including shipping)

I’d spend the rest on linking cubes, base-10 blocks, place value disks or other manipulatives and containers to keep them organized.

Keep in mind that for Number Disks/Place Value Disks you’ll need about 20 each of ones, tens and hundreds disks per student or pair of students sharing. Many companies sell these:

Place Value Disks, 100 Ones DisksPlace Value Disks, 100 Ones Disks

Place Value Disks - 100 Tens DisksPlace Value Disks – 100 Tens Disks

Place Value Disks (1-3): HundredsPlace Value Disks – 100 Hundreds Disks

#2 Using Singapore Math to Supplement another core curriculum:

  1. Start a library at your school with one set of the textbooks and workbooks for every grade level at the school as reference (4 per grade level)  x $9.00 each book – k-6 would be $36 x 7, k-5 would be $36 x 6    ($14.70 x 4 per grade level for grades 1 – 4  and $15 x 4 for grades 5 and 6)
  2. A Teacher Manual for each level:  $21 each book, 2 books per grade level = $42 per grade level     ($24.50 – $31.50 each)
  3. Challenging Word problems are $11 each and there are 6 levels (1-6)    ($14.80 and $15.20)
  4. Process Skills in Problem Solving vary in cost from $10.20 to $12.80 – levels 1-6   ($12.80 – $14.80)
  5. SpeedMaths Level 1 – 4: $8.20 each (no higher than level 4!) ($12.80)
  6. Math Sprints Masters, Levels 1 -5: 5 x $31    ($34)
  7. Elementary Mathematics for Teachers by Parker & Baldridge: $29 several copies for staff ($33)
  8. The Singapore Model Method for Learning Mathematics: $29 for grades 5 & up ($32)
  9. Teaching of Whole Numbers by Dr Yeap Ban Har, Singapore’s renowned math educator, $30.50     ($32)
  10. Bar Modeling A Problem-solving Tool also by by Dr Yeap Ban Har, for lower elementary. $30.50     ($32)
  11. Place Value Disks: get plenty of ones, tens and hundreds. $15.95 per 100 disks     ($7.95 per 100 disks)
  12. Place Value Strips: $12.50 and other manipulatives (if you don’t already have them on campus).    ($13.95)

What did I miss? Are there any books or tools that you consider “must-haves” in your Singapore Math classroom?

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Word Problem Wednesday – Art Competition

Summer’s here, but you’re missing your math? Don’t despair – we’ve got you covered. Check the site each week for one whopper of a word problem that’s sure to challenge!


This week’s problem comes from Classroom Maths Problem Sums 4 by Casco Publications Pte Ltd

117 children took part in an art competition. 2/7 the number of girls is equal to 1/3 the number of boys. How many girls took part in the art competition?

Submit your solutions and we’ll post all interesting strategies next week.


Last week’s problem and solution:

3 pears and 4 oranges cost $3.80. If 1 pear and 1 orange together cost $1.10, find the cost of 1 pear.

How did you do?

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Throwback Thursday: Top 10 Tips for Using the Singapore Math® Curriculum

Over the summer, we thought it would be fun to run some of the most popular posts from the past. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!


Top 10 Tips for Using the Singapore Math® Curriculum

Originally published 9/3/2014

I get LOTS of questions from teachers and administrators with questions about the Singapore Math® program. Recently, several fellow trainers have reached out to seek my advice (Wow!). One asked:

What would you are say the biggest 10 things to consider when using/implementing a Singapore Math curriculum?

Here’s my response. Did I miss anything?

Top 10 Tips for Using the Singapore Math® Curriculum

1. This isn’t the math most of us were raised on. It looks different and teachers cannot rely on their knowledge of themselves as elementary students. As such, the Teacher’s Guide is your math bible. You don’t have to read the lessons out loud as you teach, but you need to follow the sequence and pedagogy.

2. And that pedagogy includes Concrete, Pictorial, AND Abstract. Teachers are usually darned good at the abstract but above grade 2, not so hot with the concrete and pictorial. Yes, I know your students can solve the 3rd-grade word problems without the pictorial bar model, but if you don’t teach the bar model with content they know, you certainly can’t do it with content they don’t know.

3. Placement tests assess content knowledge. Keep in mind that a score below 80% on the Singaporemath.com Placement tests does not mean a student is not bright or capable – it does mean that they haven’t been taught the content yet. The Primary Mathematics materials are generally one year ahead of current U.S. materials and even bright students can’t just skip a year of content and expect to be successful.

4. When teaching Concretely, the SmartBoard is not enough. Students must actually use the manipulatives. Yes, they can work with partners, but students must use them, not just the teacher. Buy or make place value disks for whole numbers and decimals if you want your students to understand the content.

5. The equations are written horizontally to de-emphasize the process (that algorithm you’re so good at!) and focus on Number Sense. These mental math strategies are challenging for teachers as they were usually taught procedures only. Expect to practice the strategies yourself. Embrace the mental math!

6. Textbooks are not a curriculum. The teacher is the most important component of the curriculum. If you don’t understand the math in a lesson, how will the students? Read the Teacher’s Guide and prepare lessons. (See #1 – and below)

7. Get your own copy of the workbooks and work every problem as you expect the students to work them. It’s true that the Teacher’s Guides have the answers. You need the solutions to know if a student’s thought process is on target. In Singapore, 50% of elementary teachers have a 2-year degree – they aren’t math specialists either! The textbooks are designed to help teach teachers the math they need to know. (Same with any placement test you give: you work the problems first.)

8. Follow the maxim: Go slow to go fast. All teachers do not have to be on the exact same lesson at the exact same time. Sometimes you need to slow down and ensure that your students are understanding the content. In grades 2-4 it seems as though it takes f o r e v e r to get through the “A” books. Then applying the skills mastered in the “B” books is a breeze. (In Kindergarten and Grade 1, the “B” book will slow students down. In Grade 5, the books seem more evenly paced) Knowing what your students know and can do means you must be constantly informally assessing your students.

9. Rethink your Home Enjoyment. One big difference between the Singaporean and U.S. cultures is on the emphasis of mastering basic facts. Parents in Singapore believe it’s their job to do this. In the U.S.? Well, it’s the schools’ job. Just as we expect students to read very night to improve their reading fluency, so too should they practice math facts every night to improve fact fluency.

10. This isn’t your parents’ math either! (See #1) Many schools hold a Singapore Math night to introduce the new curriculum to the parents. Share with parents how the curriculum differs from what they’ve seen before, samples of the materials, some strategies, a couple of word problems and you’ll fend off weeks of questions and email.

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