Why does TestInitialize get fired for every test in my Visual Studio unit tests?

TestInitialize and TestCleanup are ran before and after each test, this is to ensure that no tests are coupled.

If you want to run methods before and after ALL tests, decorate relevant methods with the ClassInitialize and ClassCleanup attributes.

Relevant information from the auto generated test-file in Visual Studio:

You can use the following additional attributes as you write your tests:

// Use ClassInitialize to run code before running the first test in the class
[ClassInitialize()]
public static void MyClassInitialize(TestContext testContext) { }

// Use ClassCleanup to run code after all tests in a class have run
[ClassCleanup()]
public static void MyClassCleanup() { }

// Use TestInitialize to run code before running each test 
[TestInitialize()]
public void MyTestInitialize() { }

// Use TestCleanup to run code after each test has run
[TestCleanup()]
public void MyTestCleanup() { }

Full example taken from the microsoft documentation:

using Microsoft.VisualStudio.TestTools.UnitTesting;
using SampleClassLib;
using System;
using System.Windows.Forms;

namespace TestNamespace
{
    [TestClass()]
    public sealed class DivideClassTest
    {
        [AssemblyInitialize()]
        public static void AssemblyInit(TestContext context)
        {
            MessageBox.Show("AssemblyInit " + context.TestName);
        }

        [ClassInitialize()]
        public static void ClassInit(TestContext context)
        {
            MessageBox.Show("ClassInit " + context.TestName);
        }

        [TestInitialize()]
        public void Initialize()
        {
            MessageBox.Show("TestMethodInit");
        }

        [TestCleanup()]
        public void Cleanup()
        {
            MessageBox.Show("TestMethodCleanup");
        }

        [ClassCleanup()]
        public static void ClassCleanup()
        {
            MessageBox.Show("ClassCleanup");
        }

        [AssemblyCleanup()]
        public static void AssemblyCleanup()
        {
            MessageBox.Show("AssemblyCleanup");
        }

        [TestMethod()]
        [ExpectedException(typeof(System.DivideByZeroException))]
        public void DivideMethodTest()
        {
            DivideClass.DivideMethod(0);
        }
    }
}

this is rather standard behaviour for test suites: setup and teardown before and after each test. The philosophy is that tests should not depend on each other. If you want another behaviour, you should probably use static objects that persist between each test.