Mathematics+for+Young+Children


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// Joint Position Statement of the National Association for the Education of Young Children and the National Council of Teachers of Mathematics //   The NCTM and NAEYC affirm that high quality, challenging, and accessible mathematics education for 3 – 6 year old children is a vital foundation for future mathematics learning. In every early childhood setting, children should experience effective, research based curriculum and teaching practices. Such high quality classroom practice requires policies, organizational supports, and adequate resources that enable teachers to do this challenging and important work. In a high quality preschool classroom mathematics education should include: ** New Jersey **** Preschool Teaching and Learning Expectations: Standards of Quality ** Young children experience mathematics naturally and spontaneously as they explore, interact and try to make sense of their world. Young children in a high-quality preschool classroom are introduced to and actively engage in key mathematical concepts, language and processes. Teachers observe each child as they make choices and play in a supportive learning environment. They note interests and strengths and assess each child's prior experience and informal knowledge. They use their knowledge of child development and remember not to underestimate what children can accomplish. They provide support and use appropriate teaching strategies. Teachers integrate math into all aspects of the daily routines through individual and small-group choices and transitions, and also allot time for in-depth, planned, small-group experiences that include interaction, problem-solving and reflection. Teachers recognize the strong connection between math and literacy and the other content areas. Whenever possible, the teacher includes and shares his/her findings with each child's family. Over time, teachers and parents will grow and support each other as models for the children. The children's early interest and the adults' commitment will provide a strong foundation and the confidence necessary for mathematics enjoyment and proficiency in school and life ** Mathematics in a Preschool Classroom **  ** Numbers and Operations **  ** Geometry and Spatial Sense **  ** Measurement ** // I’m bigger than you! I am four years old. This is too heavy. //   These are things we hear preschoolers say a lot. Children naturally use measurement and comparing language. There are three measurement topics that should be explored by preschool children. They include: **Measurement Attributes**: Children must describe the attributes of length (how long or tall something is), capacity (how much something holds), weight (how heavy something is), and area (how much space is covered). **Comparing and Ordering**: Begin by comparing two objects by specific attributes (taller, shorter, holds more or less, heavier or lighter and covers more or less space than the other). Then, they describe one object against another. Lastly, children compare three or more objects or events and place them in order.  ** Patterns (Algebra) ** ** Data Analysis ** none //Optional:// a note about this edit for the page history log
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 * building on children’s experience and knowledge, basing the mathematics curriculum and teaching practices on knowledge of children’s cognitive, linguistic, physical, and social emotional development,
 * providing for children to interact with mathematical ideas,
 * integrating mathematics with other activities,
 * providing ample time to explore and manipulate materials,
 * actively introducing mathematical concepts, methods and language through a range of experiences and teaching strategies
 * supporting children’s learning by continually assessing children’s knowledge, skills, and strategies
 * EXPECTATION 1: Children demonstrate an understanding of number and numerical operations. **
 * EXPECTATION 2: Children develop knowledge of spatial concepts, e.g., shapes and measurement. **
 * EXPECTATION 3: Children understand patterns, relationships and classification. **
 * EXPECTATION 4: Children develop knowledge of sequence and temporal awareness. **
 * EXPECTATION 5: Children will use mathematical knowledge to represent, communicate and solve problems in their environment. **
 * Preschool children use mathematics to make sense of their world. They ask for more, they hold up three fingers to tell us how old they are, they count, stack blocks, and see patterns in their environment. **
 * As an early childhood educator, you play an important role in bridging the informal understanding of math with more formal mathematics. You bridge the gap by the way you design the classroom. You should design the learning environment so that there are math materials in all interest areas. In the preschool classroom there is both child exploration of materials as well as teacher directed and intentional activities for mathematics. **
 * //The Creative Curriculum// organizes their content information based on the National Council of Teachers of Mathematics content standards in five areas. **
 * They are: **
 * <span style="FONT-SIZE: 14pt; FONT-FAMILY: 'Century Gothic'; mso-bidi-font-family: 'Century Gothic'; mso-fareast-font-family: 'Century Gothic'"> 1.  **** Numbers and Operations **
 * <span style="FONT-SIZE: 14pt; FONT-FAMILY: 'Century Gothic'; mso-bidi-font-family: 'Century Gothic'; mso-fareast-font-family: 'Century Gothic'"> 2.  **** Geometry and Space **
 * <span style="FONT-SIZE: 14pt; FONT-FAMILY: 'Century Gothic'; mso-bidi-font-family: 'Century Gothic'; mso-fareast-font-family: 'Century Gothic'"> 3.  **** Measurement **
 * <span style="FONT-SIZE: 14pt; FONT-FAMILY: 'Century Gothic'; mso-bidi-font-family: 'Century Gothic'; mso-fareast-font-family: 'Century Gothic'"> 4.  **** Patterns **
 * <span style="FONT-SIZE: 14pt; FONT-FAMILY: 'Century Gothic'; mso-bidi-font-family: 'Century Gothic'; mso-fareast-font-family: 'Century Gothic'"> 5.  **** Data Analysis **
 * The purpose of this wiki is to give teachers a clearer understanding of the components in math in order to help them observe children and make sound judgments in planning for their success in mathematics. **
 * At the preschool level, number and operations concepts involve nine different areas. (TCC p. 7) **
 * 1. Counting: Children must learn three things: the number sequence, one to one correspondence, and that the last number named when counting a set tell how many are in the set. **
 * 2. Quantity (Sense of Number): understanding how many are in a set. **
 * 3. Comparisons (More and Fewer): children can often tell which has more or less. **
 * 4. Order (ordinal numbers): most young children have no problem with first. Second and so **
 * forth comes with practice. **
 * 5. Numerals: Children need time to investigate numbers. Writing numbers is not an important **
 * skill in preschool. It is more important that the children see numbers displayed and begin to understand what the numbers represent. **
 * 6. Combining Operations (Adding): Children often can put sets of objects together to find out how many in all. **
 * 7. Separating Operations (Subtracting): The operation of taking away is a common separating operation and one that young children understand. **
 * 8. Sharing Operations (Dividing): Children begin to understand this concept by sharing objects such as toys and snacks. When working with young children the concept of fair share will have to be taught. **
 * 9. Set-Making Operations (Multiplying): When children pass out birthday treats, materials making equal sets of cookies for all, giving everyone four crayons, etc. they are beginning to develop the concept of multiplying. **
 * There is so much more to investigate than circles, squares, triangles, and rectangles! The following are four important geometry concepts children need to explore: **
 * Shape: Start with 3D shapes. Children need to recognize, build with, illustrate, describe attributes, compare, and sort shapes. Ecourage children to predict what will happen when they build and creates with shapes. **
 * Space: Use words such as: near, under, top, bottom, by, righ, left. Children should be able to find shapes and objects when given simple verbal instructions. **
 * Transformations: Moving shapes by positioning them into a new position, flipping them over, turning and combining them are all geometric skills children should be exposed to. **
 * Visualization: Children should be able to picture geometric shapes mentally. Give children opportunities to see pictures or drawings from different angles, or perspectives (from the top, bottom, and sides). **
 * Measurement Behaviors and Processes ** : Actual measurement involves assigning a number to an attribute of an object. This skill takes years to learn. Young children begin to understand measurement by experimenting with non standard measurement tools; yarn, straws, plastic links, etc.
 * It is key to understand basic algebraic concepts of mathematics. Children begin to identify simple patterns by: consistent daily schedule, the phrases in poems and songs, the repeated color patterns throughout the classroom, patterns on s shirt, etc. Patterns should be easily recognized and described by young children. This is followed by extending patterns. Lastly children can translate one pattern to another by reading the pattern in their own words and and then reading it another way. For example the pattern above can be read as apple, bananas, apples, bananas… or clap, snap, clap, snap. **
 * There are three important ideas that involve concepts of data analysis. **
 * Sorting and Classifying: Children sort objects by separating a group of objects from a larger collection. Children usually start by sorting by color, then by size, and then shape. After items have been sorted and classified, the data needs to be organized so it can be represented and communicated to others. **
 * Representing Data: Many teachers do this by using pictures, objects, and graphs. When data is displayed and labeled correctly comparisons can be made and children can describe what they see. Often times, children become the data. They can stand in a line if they like cheese, red apples, ice cream, etc. After, they can draw pictures to represent their preferences and organize their data. ** || [[image:http://www.wikispaces.com/s/rte/images/bold.gif width="22" height="23" caption="Bold"]] || [[image:http://www.wikispaces.com/s/rte/images/italic.gif width="22" height="23" caption="Italic"]] || [[image:http://www.wikispaces.com/s/rte/images/underline.gif width="22" height="23" caption="Underline"]] || [[image:http://www.wikispaces.com/s/rte/images/textcolor.gif width="22" height="23" caption="Color and Style"]] || Heading 1Heading 2Heading 3Heading 4Heading 5Heading 6NormalCode || [[image:http://www.wikispaces.com/s/rte/images/blackdot.gif width="1" height="20"]] || [[image:http://www.wikispaces.com/s/rte/images/numbered_list.gif width="22" height="23" caption="Ordered List"]] || [[image:http://www.wikispaces.com/s/rte/images/list.gif width="22" height="23" caption="Unordered List"]] || [[image:http://www.wikispaces.com/s/rte/images/hr.gif width="22" height="23" caption="Horizontal Rule"]] || [[image:http://www.wikispaces.com/s/rte/images/blackdot.gif width="1" height="20"]] || [[image:http://www.wikispaces.com/s/rte/images/hyperlink.gif width="22" height="23" caption="Insert Link"]] || [[image:http://www.wikispaces.com/s/rte/images/unlink.gif width="22" height="23" caption="Remove Link"]] || [[image:http://www.wikispaces.com/s/rte/images/blackdot.gif width="1" height="20"]] || [[image:http://www.wikispaces.com/s/rte/images/image.gif width="22" height="23" caption="Insert Images and Files"]] || [[image:http://www.wikispaces.com/s/rte/images/embed.gif width="22" height="23" caption="Embed Widget"]] || [[image:http://www.wikispaces.com/s/rte/images/insert_table.gif width="22" height="23" caption="Insert Table"]] || [[image:http://www.wikispaces.com/s/rte/images/special_char.gif width="22" height="23" caption="Insert Special Character"]] || [[image:http://www.wikispaces.com/s/rte/images/code.gif width="22" height="23" caption="Insert Code"]] || Cancel ||

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 * 1) Go to the video on [|YouTube.com] that you want to embed
 * 2) Look for the **"Embed"** field on the video page
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the video or click **Save**
 * 1) Go to the video on [|video.google.com] that you want to embed
 * 2) Click the **"Email - Blog - Post to MySpace"** button on the video page
 * 1) Click the **"Embed HTML"** link
 * 1) Copy the text from the shown box into the box below
 * 1) Click **Preview** to preview the video or click **Save**
 * 1) Go to the video on [|video.search.yahoo.com] that you want to embed
 * 2) Look for the **"Add to Site"** field on the video page
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the video or click **Save**
 * 1) Go to the video on [|TeacherTube.com] that you want to embed
 * 2) Look for the **"Embeddable"** field on the video page
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the video or click **Save**
 * 1) Go to the video on [|blip.tv] that you want to embed
 * 2) Click the **"Share"** button at the bottom of the video
 * 1) Click the **"embed"** tab at the bottom of the dialog box
 * 1) Copy the text fro the shown box into the box below
 * 1) Click **Preview** to preview the video or click **Save**
 * 1) Go to the recording on [|odeo.com] that you want to embed
 * 2) Click the **"Embeddable Player"** link on the recording page
 * 1) Copy the text from the box next to the player you want to use into the box below
 * 2) Click **Preview** to preview the recording or click **Save**
 * 1) Go to the playlest on [|imeem.com] that you want to embed
 * 2) Look for the **"Embed in your Blog, Website, etc:"** field on the playlist page
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the playlist or click **Save**
 * 1) Go to your [|Google Calendar]
 * 2) Go to **My Calendars** and click on the arrow next to your calendar
 * 1) Click **Calendar Settings**
 * 1) Go down to the **Embed This Calendar** section
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the calendar or click **Save**
 * 1) Go to any [|Airset] group calendar
 * 2) Under the **"Calendar"** menu, select **"Publish..."**
 * 1) Click **"Publish this Calendar"** and follow the instructions to publish
 * 2) Under the **"Calendar"** menu, select **"Publish..."** again
 * 3) Look for the text field under **"Embed this Calendar in your own Web Page"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the calendar or click **Save**
 * 1) Go to any [|30 Boxes] calendar
 * 2) Under the **"SHARE"** menu, select **"Add To Blog"**
 * 1) Look for the text field under **"EMBED CALENDAR (WIDE: 800px)"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the calendar or click **Save**
 * 1) Go to any [|NumSum] spreadsheet
 * 2) Under the **"File"** menu, select **"Publish to my blog"**
 * 1) Look for the text field on the page shown
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the spreadsheet or click **Save**
 * 1) Go to any [|EditGrid] spreadsheet
 * 2) Under the **"Publish"** menu, select **"Post to Blog / Webpage..."**
 * 1) Set your options to suit your needs
 * 2) Look for the text field next to **"Copy the Code Segment"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the spreadsheet or click **Save**
 * 1) Go to any [|Google Spreadsheet]
 * 2) Click **"Publish"** tab at the upper-right of the spreadsheet edit page
 * 1) Click **"Publish now."**
 * 1) Click **"More publishing options.."**
 * 1) In the new window select **"HTML to embed in a webpage"** in the **"File formats"** dropdown menu
 * 1) Click **"Generate URL"**
 * 1) Copy the text under **"Here's the code:"** into the box below
 * 1) Click **Preview** to preview the spreadsheet or click **Save**
 * 1) Go to any [|scribd.com] document
 * 2) Look for the **"Embed"** text box
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the document or click **Save**

=Survey Gizmo= > > > =RSS Feed= **About RSS Feeds** A feed is a specially formatted web page that lists a summary of each change on a site, sorted by date. Sometimes you'll see feeds called syndication, XML, or RSS - they're all the same thing. || Feed URL || || =Skype= > =Gabbly= =YackPack= Your Walkie Talkie Web Channel: =Meebo= > > > =Slide= > =Flickr= > Feed URL: =Del.icio.us= > =Google Maps= > > Add your favorite media clips and applications to your wiki in three easy steps:
 * 1) Go to any [|Survey Gizmo] survey
 * 2) Click the **"Publishing"** tab
 * 1) If you have not published your survey, click **"Launch Your Survey Now"**
 * 1) Look for the text box under **"Option 1 - the iFrame Option:"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the document or click **Save**
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 * 1) Go to the [|Skype button page]
 * 2) Enter your Skype Name and select your button style
 * 3) Look for the text box under **"Copy & paste this code"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the chat or click **Save**
 * 1) Go to [|meebome.com]
 * 2) Fill out the form and click **"next"**
 * 1) Login to your meebo account or create a new meebo account and click **"next"**
 * 1) Look for the text box under **"Congratulations! Here's the code you need..."**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the chat or click **Save**
 * 1) Go to any [|Slide] slideshow
 * 2) Look for the text box next to **"Embed"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the chat or click **Save**
 * 1) Go to any [|Flickr] user or tag page
 * 2) Copy the URL pointed to by the **"Latest"** link next to **"Subscribe to"** at the bottom of the page
 * 1) Paste that URL into that box below
 * 2) Click **Preview** to preview the slideshow or click **Save**
 * 1) Go to your [|del.icio.us] account
 * 2) Click **"settings"** at the top right
 * 3) Click **"link rolls"** under the **"Blogging"** menu at the right
 * 4) Look for the text box under **"Linkrolls"**>
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the chat or click **Save**
 * 1) Go to your [|Google Map]
 * 2) Click **"Link to this page"**
 * 1) Look for the text box under **"Paste HTML to embed in website"**
 * 1) Copy the text from that box into the box below
 * 2) Click **Preview** to preview the map or click **Save**
 * 1) Go to your favorite video clip, podcast, or embedded application. Anything from **Google Calendar** to **Odeo** to **YouTube**!
 * 2) Find the HTML code to paste into your site. This will be found in a text box labeled "Embed", "Embed HTML", "Add to My Site/Blog", "Link to this page", or similar.
 * 3) Paste in the HTML below and click "Preview" to see how it will look. When you save your changes by clicking the "Save" button, your media clip or application will appear in your Wikispaces page.

|| =Other users editing this page= =Changes since you started editing= Paste the code fragment into the text area
 * None
 * Format: Plain Text ActionscriptAdaApache configuration fileApplescriptx86 AssemblerActive Server PagesAutoIt Window automation scriptBourne Again ShellBasic4GLBlitz BasicBNF: Backus-Naur formCContext-Free Design GrammarColdfusionC++C#Cascading Style SheetsDelphi Object PascalDiffDivDOSD programming languageEiffelFree BasicFortranGame Maker LanguageGroovyHTMLUno IDLINJInno Script Object PascalIOJavaJava, version 5 syntaxJavascriptLaTeXLispLuaMatlabmIRCMySQL SQLOracle SQLObjective CamlPascalPERLPHPPythonQBasicMicrosoft Registryrobots.txtRubySASSchemesdlbasicSmalltalkSmarty PHP template languageSQLTCLThinbasicTransact-SQLVisual BasicVisual Basic .NETVHSICADL, very high speed integrated circuit HDLVisual Fox ProWindows Batch ScriptingXML

or Cancel==Basic Mode== Switch to Advanced==Advanced Mode== Switch to Basic

You can apply any CSS style below in the standard CSS format, e.g. //font-face: Arial, Helvetica; color: red;// Alignment: NoneLeftCenterRight Link: Change Link · Remove Link Add Link Caption: * Choose the number of columns and rows that the table will contain. Columns: Rows: or Cancel || Help · About · Blog · Terms · Privacy · [|**Support**] · [|**Upgrade**]Contributions to http://patersonprekmath.wikispaces.com are licensed under a [|Creative Commons Attribution Share-Alike 3.0 License]. Portions not contributed by visitors are Copyright 2008 Tangient LLC. **Home** > ...  Loading... **Home** [|Skip Getting Started] Loading...
 * Font || Select a Font...ArialArial BlackComic Sans MSCourier NewGeorgiaImpactLucida ConsoleLucida Sans UnicodePalatino LinotypeTahomaTimes New RomanTrebuchet MSVerdanaSymbolWebdings ||
 * Size || [[image:http://www.wikispaces.com/i/minus.png width="20" height="20" caption="-" link="patersonprekmath:Components#"]] [[image:http://www.wikispaces.com/i/plus.png width="20" height="20" caption="+" link="patersonprekmath:Components#"]] ||
 * Color ||  ||
 * Background Color ||  ||
 * Alignment || Select Alignment...LeftCenterRight ||
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Left
 * Right
 * Center
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Merge To The Left
 * Merge To The Right
 * Split Merged Cells
 * Make Header
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Left
 * Right
 * Center
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Add above
 * Add below
 * Remove Row
 * Make Header
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Left
 * Right
 * Center
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Add to the left
 * Add to the right
 * Remove Column
 * Make Header
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * [[image:http://patersonprekmath.wikispaces.com/i/bullet_arrow_down.gif width="15" height="15" link="patersonprekmath:Components#"]]
 * Left
 * Right
 * Center
 * Remove Table