ReactJS - mapped array not updating after ajax

I've got a simple component that renders a table. The rows are mapped like this:

render () {
    return (
        {this.state.data.map(function(row, i){
            return <Row row={row} key={i}/>
        }.bind(this))}
    )
}

The state is initialized in the constructor:

this.state = {
    data: props.hasOwnProperty('data') ? props.data : [],
    route: props.hasOwnProperty('route') ? props.route : null
}

The data can be initialized in the DOM, or after, the route is passed to the container and bound correctly. In this case, I 'm doing it after in the componentDidMount method:

componentDidMount () {
    axios.get(this.state.route)
        .then(function(resp){
            this.setStateParametersFromAjax(resp);
        }.bind(this))
        .catch(function(err){
            console.log(err);
        })
}

The setStateParametersFromAjax(resp) method is defined here:

this.setState({
    data: resp.data.data,
});

This all works flawlessly on DOM load. However, there are buttons that will perform subsequent requests later on. These requests perform the same axios call.

The problem is, that even though the state is updated (verified by adding a callback as the 2nd argument to the setState method and logging this.state), the DOM does not update.

What do I need to do to make it so that the DOM updates with this new data as well?

Edit

I had simplified the code a bit, there is a method called fetch() that accepts an argument of params that defines the ajax call:

fetch (params) {
    if(typeof params != "object") {
        params = {};
    }
    axios.get(this.state.route, {
            params
        }).then(function(resp) {
            this.setStateParametersFromAjax(resp);
        }.bind(this))
        .catch(function(err){
            console.log(err);
        })
}

The componentDidMount() method calls this on load:

componentDidmMount () {
    this.fetch();
}

When a button is clicked later, this calls a function that calls the fetch method with parameters:

<li className="page-item" onClick={this.getNextPage.bind(this)}>

Where the function is defined:

getNextPage (event) {
    event.preventDefault();

    this.fetch({
        arg: val
    });
}