Even and Odd Numbers - Smart First Graders Learning even and odd numbers is tricky. This collection of learning activities will give kids lots of opportunities for practice, whatever their learning style. For tips on teaching this concept, you may also be interested in our page on odd and even numbers. Odd and Even Numbers Even and Odd, Everywhere: Look around to find anything countable: pennies, plants, pillows, windows, dry erase markers, cats, crackers, you name it. The Odd Exercise: Say a number. Odd and Even Boots: Check out this great idea for even and odd numbers! Who Do We Appreciate? 2-4-6-8, who do we appreciate? 1-3-5-7, Can odd numbers go to heaven? Hundreds Chart: Hundreds charts are great for all kinds of number sense activities. AB Patterns: This type of 1-2-1-2 pattern is common in first grade, and matches the pattern of even and odd numbers: Set up various stations, each with a different duo of colors and types of counters: blue and yellow buttons, square and round wooden beads, black and white beans, etc.
Odd and Even Numbers - Smart First Graders What Kids Need to Learn First graders will learn to identify odd and even numbers, and they will learn what the words "odd" and "even" mean. Putting the Math in Context In first grade, children are introduced to the concept of even and odd numbers. They will work with small quantities (no more than 20) which can be easily manipulated with counters. In second grade, this area will become more difficult, as children will be expected to identify even and odd based on written numbers up to 100 or higher. Why It's Important It doesn't seem as if the ability to identify a number as even or odd would be that important a skill for kids to learn. Math Challenges Kids Might Face With some hands-on practice, first graders generally catch on to this concept fairly quickly. The real challenge will happen a bit later, when kids are expected to identify larger numbers as odd or even--the ones that are too big to count. Math Help That Could Make the Difference Whiz Kids
Linear Arithmetic Blocks Description of LAB Features of LAB as a model How to make LAB Linear Arithmetic Blocks (LAB) can be made at home or at school from ordinary washers and PVC pipe of a similar diameter. A good set for classroom demonstration requires about 7m of 25 mm diameter plastic pipe and contains about 40 thousandthsabout 30 tenths and hundredthsat least two ones. Using LAB as a model of the number line Why we prefer LAB to MAB Research conducted at the University of Melbourne (Stacey et al , 2001) has demonstrated that LAB has a number of advantages over MAB. students get confused with MAB simply because it has been used before with the "mini" representing one;LAB models number with length whereas MAB models number with volume and many students in upper primary do not yet have a strong grasp of volume;the various pieces of MAB seem to be of different dimensions (1-D, 2-D, 3-D ) and this makes generalising to more place value columns difficult. References
Rethinking Concrete Manipulatives Douglas H. Clements Sue McMillen Close your eyes and picture students doing mathematics. Are Manipulatives Helpful? Helpful, yes... ...But no guarantee. In contrast, students sometimes learn to use manipulatives only in a rote manner. Similarly, students often fail to link their actions on base-ten blocks with the notation system used to describe the actions (Thompson and Thompson, 1990). Although research suggests that instruction begin concretely, it also warns that concrete manipulatives are not sufficient to guarantee meaningful learning. What Is Concrete? Manipulatives are supposed to be good for students because they are concrete. First, it cannot be assumed that when children mentally close their eyes and picture manipulative-based concepts, they "see" the same picture that the teacher sees. Second, physical actions with certain manipulatives may suggest mental actions different from those that teachers wish students to learn. Types Of Concrete Knowledge The class did (see fig. 7).
Number Worlds Griffin, S. (2005). Teaching mathematics in the primary grades: Fostering the development of whole number sense. In J. Bransford & S. Griffin, S. (2004). Griffin, S. (2004).Teaching number sense. Griffin, S. (2003). Griffin, S. (2003). Griffin, S. (2002). Griffin, S. (1998). Griffin, S., Case, R. (1997). Griffin, S. & Case, R. (1996). Griffin, S., Case, R., & Capodilupo, A. (1995). Griffin, S., Case, R., & Siegler, R. (1994). Griffin, S. (2005). Griffin, S. (2004). Griffin, S. (2004).Teaching number sense. Griffin, S. (2003). Griffin, S. (2003). Griffin, S. (2002). Griffin, S. (1998). Griffin, S., Case, R. (1997). Griffin, S. & Case, R. (1996). Griffin, S., Case, R., & Capodilupo, A. (1995). Griffin, S., Case, R., & Siegler, R. (1994).
There’s no app for good teaching 8 ways to think about tech in ways that actually improve the classroom. Bringing technology into the classroom often winds up an awkward mash-up between the laws of Murphy and Moore: What can go wrong, will — only faster. It’s a multi-headed challenge: Teachers need to connect with classrooms filled with distinct individuals. There’s no app for that. But there are touchstones for bringing technology into the classroom. “App-transcendence,” says Howard Gardner, a professor at Harvard’s graduate school of education who is known for his theory of multiple intelligences, “is when you put the apps away and use your own wits, not someone else’s.” The following is what teachers (and parents) need to know when looking at the increasingly lucrative landscape of apps, learning systems, MOOCs and hardware. 1. Skip the templates and overly pat apps. 2. Look for technology that uses questions to foster curiosity and the joy of discovery. 3. 4. 5. Look beyond Facebook, Instagram and texting. 6. 7. 8.
Fractions Fraction - a rational number of the form a/b where a is called the numerator and b is called the denominator. WOW! I'm having a heck of a time getting this page built, go to my blog and search "fractions" meantime...this page isn't going to look anything like this when I'm done...this week jan 15 2011 this page will transform...hmmm never transformed...lol now it's Dec 2011..this is now top of the list... I have made quite a few blog posts on the topic. (More than 30.) So for now there will be a lot of links to my blog as I build this page out. You can start with very young students because fractions are math and math is just counting. You can start the journey here: Soon there will be lots of pictures vids and all the things you find elsewhere here at the house of math. Go here for a simple fraction worksheet.
Place Value Soon this Place Value page will be more comprehensive. Covering place value from one out to millionths and clearing up the common question "why are there no one-ths..?" We will also talk about getting a grasp of large numbers, which is sorely needed in today's world. This concept along with 'the law of large numbers' is what prompted me to build this website, by the way. Links need to be built etc the page is under construction just like the rest of this website. Meantime, as usual, we will start at the beginning, with lessons for little kids and work our way up. I like to start with a lesson on place value with 111. I start with 111 because it instantly exposes students to the concept that each number can mean something. Universally, each young student who is exposed to 111 on a page or white board will tell you with all certainty that that's the same as three. "Is that true? You will get some variation of "Because one and another one and another one is three...everybody knows that!"
Learn To Use Base Ten Blocks at Crewton Ramone's House of Math. Free Addition Game, Free Addition Game! In Hawaii they say, "free is a damh good deal, anything more than that and you gotta negotiate." Here is a Free Addition Game, part of CREWTON RAMONE'S ABSOLUTELY AMAZING ADDENDS, it's just taste of the software: a demo. See below to obtain your FREE copy of the freeware or (eventually) actually purchase the "full version". On the I-Phone all you will have to do is touch the right answer. And FREE upgrades, did I mention the FREE upgrades? Act now and we'll throw in a set of steak knives and a bamboo steamer... If you need the plug in or software to run it you will be automatically forwarded to the Unity site and prompted to down load it. Just click this link: This is the old version, with my VERY young sons playing it: It has since been upgraded... There are also plenty of free software programs out on the web for teaching +, -, x, /, fractions etc but very few for algebra...more will be built by us as time goes by especially for algebra. **Did I mention the FREE upgrades?
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