Getting out of math’s mud

The past month hasn’t been much fun – we mostly did math – stole from other subject periods to finish the previous day’s homework… Tammy really struggled with most of the math we did – especially problems like converting recipes. But she has nevertheless shown much improvement in all areas. Here are a few examples of the types of problems we did:

Time calculations e.g.

• On Saturday Tammy went to bed at 21:30 and she woke at 5:15. How long did she sleep?
• Nick Jonas wants to phone Tammy on her birthday at 19:00. What day and time will it be in California then?” “Lana wants to phone Tammy at 21:00 on her birthday. What day and time will it be in Australia then?
• The April holiday starts on 16 April and ends on 3 May. How many weeks/ days is that? (She calculates this without a calendar and then checks on the calendar to see whether she is right. These sums involved much subtraction, adding and division by 7.)
• Why time calculations? Because it is important in every day life as well as tourism and geography – two of her subjects. Whereas other people just pick up these skills, Tammy has to practice a method for everything.

Adding or subtraction e.g.

• Tammy invited 25 guests to her birthday party. 4 said they could not come. How many guests can she expect?
• Tammy received 14 gifts. She has already opened 6 gifts. How many more gifts must she open?
• Why? She still struggled with such basic problems, although we did a lot of them last year. I am convinced though that if we keep on practicing these, the ability to apply mathematical solutions to a variety of problems will emerge.

If one then multiply, if many then divide problems:

• The following recipe is enough for 6 people. How must Tammy change the recipe so that it is enough for 25 people? (Divide ingredients by 6 and multiply with the number of guests. Round the answer – you cannot use 3.75 chicken or measure 7.33 ml salt or 990 ml sauce.)
• Shaen will take 5 photos of each guest. How many photos will he take when there are 20 / 25 / 30 guests?
• If one plate costs R25, how much will the dinner for 30 people cost – i.e. how much will 30 plates cost?
• For the problems we whisked out the abacus and number line again. We drew pictures and real objects. And we practice and practice and practice. The conversion of recipes is part of lesson 1 of Grade 10 mathematical literacy, and both of us are determined to crack it – not only for the lesson, but forever!

Multiplication and division

• How to multiply with 25: Since 25 = 1/4 of 100, divide by 4 and multiply with 100. These problems also took several exercise sheets, before she could do it. Once she got the hang of it, it was fairly easy, but then she would apply the same “recipe” when multiplying 10 x 25! Of course you can divide 10 by 4 and multiply the answer with 100, but it is so much quicker to just add a zero!
• Besides the 1-12 tables, to also be able to count in 15’s and 25’s. To know the answers to 60/4, 4 x 15, 3 x 15, 45/ 3, 75/ 3, 3 x 25 100/ 4, 1000/ 4 etc. etc. This is much more fun and she loves it, if she “gets” me, i.e. if she can give the answer very fast!
• Percentages: this is nothing new, but it requires continuous practice. Also to understand what it meant when you run at 50%, 80% and 100%! (Water aerobics)

There is still a massive elephant to be eaten and for Tamerin the bites can never be too small. I am just grateful for the few mouthfuls that she has been able to digest. Let’s pray that these skills will stick forever!

Third Term 2010 Plans and Good news

We have just started the 3rd term. After all the excitement of the World Cup, we (and many other people) experience a bit of a "Now what?"
Tammy and I made some plans for this term: she wants to learn about Phuket since her family are going there in September. I am trying to gather enthusiasm for another important theme that we had just started on before World Cup fever gripped us: SAFETY! Last term we discussed sexual abuse (hardly an exam or speech topic, but very important nonetheless!) What to do if there is a fire in the house, what to do if someone chokes, bleeds and a few other basie first aid topics, and improved usage of her cell phone are some of the safety topics that I planned, but that we have not yet got around to them.

First priority now is to evaluate reading, speed of looking up words, typing tests etc. - its report time again!

Yesterday at 12:15 Tammy asked me whether I wanted some tea - her hint that she wanted a break. As it was still 15 minutes from lunch time, I said "Let's first finish the chapter." We were busy with the last chapters of "Friends Forever" (A My Secret Unicorn Book). We both read the book out loud together and Tamerin follows with her finger. When we came to the end of the chapter, her finger of own accord moved to the next chapter, so we kept on reading. After a while I suggested we break for lunch and Tammy said "Let's first finish the chapter!!" This is a first! She has never asked to continue reading in lunch time! After lunch, she asked if could go on reading!

When I asked her questions about the story, a few 100% correct answers came out: "Why did they all shriek?" "Because a pine had fallen across the track." Wow! Tammy has never been able to put together a sentence like that. What a big improvement!

Something is happening language wise and this is what I have been praying for these past 3 years! Praise the Lord with me!

What shall we read next? Tammy wants to read "High School Musical 2", but I'm not so sure: on the one hand yes, because she is so interested, but on the other hand, the vocabulary is just a trifle too difficult and the language is not always the best. For example sentences with question marks pose as questions. This is a problem as I am trying so hard to get her to form proper questions, starting with a verb and not the subject! I am inclined to want to read another Unicorn book, just because she will be familiar with most of the vocabulary and should be able to follow the story easily.

And math's? She got 95% for her long multiplication homework of yesterday! She only made one small mistake: 0+ 4= 5! Oh Tamerin!

Thank you Lord for such progress! Thank you for the hope that you give us to keep us going! Thank you for helping Tammy! Thank you for her love.

First days of 2nd Term: Elections!

Besides our school vacation, we have had many public holidays in April: 22 April was Election Day, 27 April was Freedom Day (to commemorate our first truly democratic Election 15 years ago) and Friday 1 May is Workers Day. Last week we had two days of school and then I took off the rest of the week to go to the sea with my children (after we first voted of course!). So this is our "2nd week" of school, but actually today has only been our 3rd day of school this term. We could get used to have so many days off!

Last week Tammy and I spent a lot of time calculating how many people would vote if the voter percentage was 80%, 70%, 60% etc. based on the actual number of registered voters. (23,180,000). The ruling party i.e. the A.N.C. had a 2/3 majority after the last elections and that meant that they could change the constitution by themselves. To ensure true democracy, it was hoped that they would not get a 2/3 majority again. We have a very high crime rate and service delivery throughout the country is deteriorating and in many places virtually non-existent. In these aspects, the country is a mess and change is desperately needed if we are not to share the lot of Zimbabwe.

Anyway, it was good talking to Tamerin about the importance of voting and how the parliamentary seats would be allocated. Today, we studied the real results ("results" and "statistics" were today's new words) and then Tamerin "practised" speaking about the results.

She again did a lot of % calculations - from very simple ones e.g. 10% of 100 and 10% of 200 to 65.9% of 17,680.729 i.e. the election results. The complicated ones she did with a calculator of course! She also calculated percentage the other way around e.g. 40/ 50 x 100 =80% . Here too she worked from very simple calculations to real election results i.e. 11,650,748 out of 17,680.729 (the A.N.C.'s results) and 2,945,829 out of 17,680.729 (the D.A.'s i.e. the main opposition's results) It was good to see that her calculations were the same as the official statistics!

So what did she learn in this theme?

• What elections are about and a basic understanding of how our government is put together.
• The importance of voting: the higher the voter percentage, the more votes are needed to get a seat in parliament.
• What an I.D. document is.
• The voting process
  
• To read figures that run into hundred thousands or millions. A million has six zero's!
  
• To calculate % and to have a basic understanding of percentages e.g. 50% is half.
• These % calculations helped to reinforce basic arithmetic: multiply and divide.
  

Tammy has been familiar with the term "percent" for a long time, as she daily records the weather forecast and it often includes 30% or 60% chance of rain. Since January, I let her calculate her homework results i.e. calculate how many sums she did, subtract the mistakes, and work out the percentage that she achieved. Working with percentages is not difficult, but an important life skill and I am thrilled with how well she copes with them. We can now go on to work out discounts and interest rates.

Thank you God for Tammy's good progress!

P.S. Tammy wrote (with help) on her blog about the election results. This helped her to verbalize her election information as she would explain it to her Ouma.