Van Hiele model

However, there is some dispute about the van Hiele Model, some researchers argue that these levels are not discrete since students have shown to show signs of thinking in more than one level in a variety of tasks of different contexts (Lehrer, Jenkins & Osana, 1998; Gutiérrez, Jaime & Fortuny, 1991) and as such means that the students cannot advance if the levels are intertwined as opposed to being progressive. Nonetheless, van Hiele’s model suggests the following phases of teaching; Phase 1 – Information (students are provided with content by the teacher), Phase 2 – Guided Orientation (teacher aids students in actively exploring shapes), Phase 3 – Explicitation (the teacher guides student to recognise their geometric conceptualisations), Phase 4 – Free Orientation (students solve problems that enable them to establish and adapt the concepts and relations), and Phase 5 – Integration (the teachers have students reflect on their geometric knowledge) (Clements, 2003). However, Burger & Shaughnessy (1986) argue that improper and imprecise language can hinder students learning in geometry. This is supported by van Hiele-Geldof (1984) who stated that if teachers use mathematically terminology too soon without everyday references then students learn the terminology without the associated mathematical…

Since the beginning of our time together as a class, we have held many late night discussions on what geometry instruction may look like at the elementary level. I have learned about the Geometric Habits of Mind that should be present in our classrooms as we engage our students in geometric thinking. I have also had demonstrated for me what it looks like for a teacher to help his/her students move forward to higher Van Hiele levels of thought. These two systems of thinking, along with the…

The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…

Classic cars embody the zeitgeist of the era from which they came. The design of the fins and fenders, the materials, and even the colors all give an indication of when a classic car was made. Restoring this type of automobile to its original beauty, therefore, takes time, expert knowledge, and patience. If you’ve located a classic car that you’d like to restore, here are some of the repairs you’ll want to make plus some advice on where to go to find what you need. Get to Know Your Car Angie’s…

The follies is a fun and memorable event to experience. Many citizens of Mason City would recommend that you attend the follies. Each and every student in the follies works very hard on their act. The follies are held each year and it is a event that many people attend. The follies has made Mason City more exciting, made an event for people to see, and it created another fun activity for citizens to do. The follies take place in the month of February and have been occurring for a very long…

I chose this question because my dad collects classic cars and I frequently see catalogs that come in the mail that are filled with parts for all sorts of car parts. I know my mom gets on my dad a lot about buying too many parts at a time because they can get very pricey. Why are the parts to pricey? I know that the parts themselves are fairly simple and much less complex than a part you would find for a new car. I assume that car parts are so pricey because the parts simply aren’t made anymore.…

Over lunch one day, Lee Blocker told Bill about some land outside of Elgin that he wanted to develop. Nancy Lou and Bill drove to Elgin with their three children and were greeted by a downtown with all the first story windows broken out and boarded up, and many of the second story windows were broken with pigeons roosting in them. She remembers what a dreary place it seemed and said to Blocker, “If we come to live here, I will have to do everything in my power to revitalize this downtown.” In…

Distillery Tour WHAT: Round up your friends and expand your world of spirits this weekend at the Frankfort Spirits Distillery Tour. You and your friends will have a great time as you enjoy a unique distillery excursion. You will experience firsthand how spirits are made, how to properly taste them, as well as what makes craft spirits special. During your tour, you will get to enjoy a variety of sample-sized handcrafted cocktails as you explore their sensational flavors and properties.…

Pontiac 389 Tri Power V-8 What makes it a Classic: The Pontiac 389 Tri Power V-8 Often it's difficult to determine if an old car is truly a classic. However, if you're looking at automobiles from the [Pontiac Motor Division of General Motors], it's a little easier. If you pop the hood on a late 50s or 60s Pontiac of any model and a Tri Power 389 V-8 is staring back at you, you've just found yourself a classic. Join me as we talk about one of Pontiac's [greatest engines of all time]. We'll…

As a person grows up, it is really helpful to have a paragon to look up to. Countless adults today accomplished huge success in their lives with the help of others. Those who have assisted the successors can be classified as mentors, models, ideal individuals, etc. These individuals labeled as “perfect examples” are major help in order to keep a consecutive attitude in not giving up for future success. These perfect examples are classified as role models for their past experiences, impacts, and…