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Until the Otis-Lennon School Ability Test® was adopted by the New York School District we hadn’t often been asked for recommendations for children this young.  If you are in New York with a child with a 2005 birthday being tested for kindergarten placement (assuming that New York follows the same procedure that they did in 2008) they will be taking the OLSAT® Level A individually with a proctor.  They will only be given the first 40 questions (the full test has 60 questions).  It is a multiple-choice test.  The children indicate their answers by shading a bubble underneath the picture they choose on the question paper (they don't fill in the scantron form).  There is no reading.  The test proctor reads the instructions, questions and answers once only.  Listening is very important.

Making recommendations for Pre K children isn't clear cut.  Your Pre K child may be a three year old with no formal learning exposure or a four year old in a formal Pre K program studying a K curriculum or somewhere in between.   While your child will take the same test as all the other children born in 2005 their performance will be compared with that of children in a three month band.  A child born in December 2005 will have the opportunity to answer questions of the same difficulty as those presented to a child born in January 2005 but won't have to get as many right to get the percentile ranking required to be identified as gifted.  To restate while every child born in 2005 takes the same test and has the potential to benefit from the most difficult of the titles I recommend here your young child may find them too hard.  Start at your child's level and don't push them past the point where it's fun and they're learning.  If your child is only three you may be better off beginning with the titles recommended for three year olds and coming back here once you've finsihed those.
 
Scroll down to see all my recommendations.  Click on "more info" at the end of each brief product description and viw the sample activities.  If they look really easy get the next level in the series.  If they look difficult considering starting with a simpler level.  I've assumed in making these recommendations that you have a bright child.  The grade level designations in the titles of the products are based on typical children.  With a bright child you can go higher than this and tha higher level of understanding will be needed to answer the most difficult questions on the OLSAT®  test.
 
For the OLSAT® you want to expose your children to verbal, aural, arithmetic, pictorial and figural reasoning activities.  The Building Thinking Skills series is a great place to start for verbal and figural reasoning.  Add to that Can You Find Me? for pictorial and aural reasoning and Mathematical Reasoning for arithmetic reasoning and you're well placed.  The LUK Learning System adds another dimension introducing independent learning and concentration building activities.
 
If you have some time the K-1 book bundle offers a selection of the titles recommended and others utilizing the skills in different contexts (only titles published by The Critical Thinking Company are included in this bundle).  Most bright 4 year olds will be ready for much of the material in the  in the Gr K-1  Book Bundle.  If you've got some time this is a good choice.
 
The Building Thinking Skills series is a great place to start.  Read the product descriptions and table of contents and try out the sample activities with your children to see if your child is ready for Building Thinking Skills Primary.  Building Thinking Skills Primary is designed to be used with manipulative blocks which are sold separately.  Without blocks you won't be able to do about 1/4 of the exercises.  You could trace the attribute block shapes out of cardboard instead of purchasing the plastic blocks I sell.  You could do the same for the interlocking cubes but I strongly recommend that you purchase these.  The interlocking cubes easily lead themselves to extension activities in developing more complex sequences (in addition to color each block has a geometric shape cut out which can add another dimension to sequencing) and understanding orientation and constancy of area and volume.   Young children learn through play so even though actual blocks won't be used in testing playing with them is an important way for many children to learn some of the skills needed.
 
Your gifted child may even be ready for Level 1 of Building Thinking Skills (for the typical child in Gr 2-3).  As with the Primary level don't expect written answers at this stage.  Scribe for them, allow them to just tell you the answer or choose the software.  Finally if your child needs more practice with figural reasoning Hands on Thinking Skills contains additional activities in this area.
 
Can You Find Me? is a great choice to use for listening and reasoning.  For testing it will be important that your child stays focused and listens to the instructions, questions and answer options.  
 
If you want just one book I can't offer anything that covers the entire skill set tested for in the OLSAT® but recommend that you choose between Building Thinking Skills Primary and Can You Find Me? K-1  The best one for your will depend on your child and what they do and don't know already.
 
While there is no math per se in the OLSAT® questions on arithmetic reasoning are included at this level.  As an illustration a question might ask the child to identify the picture of flower with two more flowers than the first picture.  The Mathematical Reasoning series has more math that you'll need but it develops this type of reasoning skill.  Your child may need to start with Mathematical Reasoning Beginning 2 or may be ready for Level A in this series.  Again I recommend looking at the sample pages and trying the activites with your child.
 
Math Analogies is another good choice for both arithmetic reasoning and verbal and figural reasoning.  It uses pictures and numbers to present analogies and the user has to complete analogy pairs.
 
The final title in the list of recommendations below is the Spectrum Test Prep book for Gr 1-2.  This series was designed to prepare children for conventional standardized tests of reading and math.   Despite the difference in focus from the OLSAT® there are a number of questions in this book that are similar in content and format to those on the OLSAT®.  In addition practice listening and shading bubbles is very important for some children.  There will be problems in this book that will be difficult even for a bright Pre K child but I'm not aware of anything like this designed for younger children.
 
If you are in New York your child will be taking the Bracken School Readiness Assessment (BSRA) in addition to the OLSAT®.  Mathematical Reasoning  and Can You Find Me?  are great choices for this.  If you read more about the BSRA you'll see that our recommendations there are very similar to those for the OLSAT®.  The range of products sold here was chosen because of their ability to build thinking skills.  The fundamental concepts that the BSRA tests for are integrated into the thinking skills activities included in the various products. 
 
OLSAT® and Otis-Lennon School Ability Test® are registered trademarks of NCS Pearson (previously Harcourt Assessment Services).  The recommendations made here are those of Think Tonight and are not endorsed by NCS Pearson.
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My First Brain Quest
My First Brain Quest
Our Price: $10.95

Age: 2-3
Pages: 148

Deck of cards riveted together containing a series of questions in picture format relating to a child's everyday life. Interaction between parent and child promotes language development, cognitive growth and social skills.
bambinoLUK Complete Set
bambinoLUK Brain Building Complete Set with Controller
Our Price: $100.49

Age: 3-5 years
Activities: 1980
 
The complete set of 15 bambinoLUK titles together with a controller. 
Brain Quest for Threes
Brain Quest for Threes
Our Price: $10.95

Age: 3-4
Pages: 148

Deck of cards riveted together containing a series of questions in picture format relating to core learning.  Topics covered include alphabet, counting, recognizing shapes, comparing sizes and matching pairs. Interaction between parent and child promotes language development, cognitive growth and social skills.
Building Thinking Skills Beginning
Building Thinking Skills Beginning
Our Price: $32.99

Grade(s): Pre K
Activities: 479
Pages: 224

Building Thinking Skills® Beginning provides highly effective verbal and nonverbal reasoning activities to improve child?s vocabulary, reading, writing, math, logic, and figural-spatial skills, as well as their visual and auditory processing. This
Can You Find Me PreK
Can You Find Me? PreK
Our Price: $17.99

Grade(s): PreK
Activities: 80
Pages: 101

Can You Find Me? develops skills in reading readiness, science, math, and social studies using five basic thinking skills: similarities and differences, sequences, classifi cations, analogies, and logic. Each riddle requires identification of two or more clues to deduce the answer. Activities may be enhanced by teaching additional information about the animals, objects, shapes, letters, and numbers used in the riddles.

Content is aligned with state standards making this a great test preparation book.
Brain Quest Preschool
Brain Quest Preschool
Our Price: $10.95

Age: 4-5
Pages: 148

Deck of cards riveted together containing a series of questions in picture format relating to core learning.  Topics covered include counting, recognizing shapes, comparing sizes and matching pairs. Interaction between parent and child promotes language development, cognitive growth and social skills.
Mathematical Reasoning, Beginning 2
Mathematical Reasoning Beginning 2
Our Price: $34.99

Grade(s): PreK (age 4)
Pages: 288

Age appropriate problem solving and computation build the math reasoning skills necessary for success in higher level math and math assessments
Grade K-1 Book Bundle
K-1 Book Bundle (Critical Thinking Company)
List Price: $246.88
Our Price: $209.99
You save $36.89!

Collection of our most popular books for Grades K-1 at a 20% discount.
Building Thinking Skills Primary
Building Thinking Skills Primary
Our Price: $32.99

Grade(s): K-1
Activities: 435
Pages: 272

Building Thinking Skills® provides highly effective verbal and nonverbal reasoning activities to improve child?s vocabulary, reading, writing, math, logic, and figural-spatial skills, as well as their visual and auditory processing. This exceptional series provides a solid foundation for academic excellence and success on any assessment test..

Requires manipulative blocks sold separately.
Can You Find Me K-1
Can You Find Me? K-1
Our Price: $17.99

Grade(s): K-1
Activities: 80
Pages: 101

Can You Find Me? develops skills in reading readiness, science, math, and social studies using five basic thinking skills: similarities and differences, sequences, classifi cations, analogies, and logic. Each riddle requires identification of two or more clues to deduce the answer. Activities may be enhanced by teaching additional information about the animals, objects, shapes, letters, and numbers used in the riddles.
Mathematical Reasoning, Level A
Mathematical Reasoning Level A
Our Price: $39.99

Grade(s): K
Pages: 256

Mathematical Reasoning™ helps your child devise strategies to solve a wide variety of math problems. These books emphasize problem solving and computation to build the math reasoning skills necessary for success in higher level math and math assessments.

These highly effective activities take students far beyond drill-and-practice by using step-by-step, discussion-based problem solving to develop a conceptual bridge between computation and the reasoning required for upper-level math. Activities and units spiral slowly, allowing students to become comfortable with concepts but also challenging them to continue building their math skills.
Math Analogies Beginning
Math Analogies Beginning
Our Price: $11.99

Grade(s): K-1
Activities: 48
Pages: 42

Understanding analogies and the ability to reason analogically are important problem-solving skills. There are few resources to assist children in the explict use of analogous reasoning with quantitative and spatial information. This series fills that void.
Brain Quest Kindergarten
Brain Quest Kindergarten
Our Price: $10.95

Age: 5-6
Pages: 148

Deck of cards riveted together containing a series of questions in picture format relating to core learning.  Topics covered include counting, patterns, shapes, mazes, opposites, rhymes and more. Interaction between parent and child promotes language development, cognitive growth and social skills.
Building Thinking Skills Level 1
Building Thinking Skills Level 1
Our Price: $29.99

Highly effective verbal and nonverbal reasoning activities to improve vocabulary, reading, writing, math, logic, and figural-spatial skills, as well as visual and auditory processing. This exceptional skill set provides a solid foundation for academic excellence and success on any assessment test.
Building Thinking Skills Level 1 software
Building Thinking Skills Level 1 Software
Our Price: $36.99

Grade(s): 2-3
Activities: 800

Building Thinking Skills®provides highly effective verbal and nonverbal reasoning activities to improve vocabulary, reading, writing, math, logic, and figural-spatial skills, as well as visual and auditory processing. This exceptional skill set provides a solid foundation for academic excellence and success on any assessment test.
Spectrum Test Prep Grades 1-2
Spectrum Test Prep Grades 1-2
Our Price: $9.99

Boosts confidence and helps learners improve test scores by offering children the preparation they need for standardized tests.